(a) The total distance of the bus is 10 m.
(b) The total displacement of the bus is 2.83 m.
(c) The average speed of the bus is 2 m/s.
(d) The average velocity of the bus is 0.57 m/s.
What is the total distance travelled by the bus?The total distance of the bus is the sum of all the distance covered by the bus and it is calculated as follows;
distance = 2 m + 5 m + 3 m = 10 m
The total displacement of the bus is calculated as follows;
resultant horizontal displacement = 2 m east
resultant vertical displacement = 5 m - 3 m = 2 m North
Total displacement = √ ( 2² + 2² )
Total displacement = 2.83 m
The average speed is calculated as;
average speed = 10 m / 5 s = 2 m/s
The average velocity is calculated as;
average velocity = 2.83 m / 5 s = 0.57 m/s
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a fire hose has water entering from a fire hydrant at the rate of 2m/s with a pressure of 200000 pa. at the nozzle the pressure decreases to atmospheric pressure (101300 pa), there is no change in height. use the bernoulli equation to calculate the velocity of the water exiting the nozzle. (hint: the density of water is 1000 kg/m3 and gravity g is 9.8 m/s2 .
The velocity of water exiting nozzle is 14.2 m/s.
What is velocity ?
It measures how quickly a distance changes. It is the rate at which displacement is changing.
What is pressure?
Pressure is the force applied perpendicularly to an object's surface in relation to the area across which it is dispersed.
New same height so h₂=h₁
new position p₂= 101300 pa and velocity v₂
water density p₂= 1000kg/m
gravity = 9.8m/s
V₁²= 2/p (p₁-p₂)
4+2/1000 ( 20000- 101300 )
=20.14
v₂= [tex]\sqrt{20.14}[/tex]
= 14.2 m/s
Therefore, the velocity of water exiting nozzle is 14.2 m/s.
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two handheld radio transceivers with dipole antennas are separated by a large fixed distance. if the transmitting antenna is vertical, what percentage of the maximum received power will appear in the receiving antenna when it is inclined from the vertical by the following angles?
A transceiver is a combination transmitter/receiver in a single bundle. while the time period normally applies to wireless communications gadgets, it is able to also be used for transmitter/receiver devices in cable or optical fiber structures.
The electricity of the antenna is given by,
The resistance of the antenna is steady, for this reason,
Pa(avy
Now the voltage difference is,
AV = Bjcos8
consequently, the voltage distinction is directly proportional to t
cosine of the angle.
AVecosé (because B and/are constant)
subsequently, the electricity received,
Paces
therefore, if the angle of the willing is 14.three°, then the
acquired electricity by the antennas,
Pm c0s414,3°=0,93899
Paw
93.9%
if the perspective of the inclined is 45°, then the
obtained electricity by means of the antenna is,
SP price a5¢=05
Pan
50%
if the perspective of the inclined is 90°, then the
received energy with the aid of the antennas,
Pn cos? 9%=
Paw
= 0.0%
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process command line args and get the simulation parameters (e.g., alg, quantum, inputfile) create/initialize the necessary data structures (ready q and io q (double linked lists of pcb),
In the operating system's command-line shell, parameters are provided after the program's name. Typically, we define main() with two arguments: a list of command-line arguments and a number representing the number of command-line arguments.
In C#, how do you acquire command-line arguments for a process?We'll talk about utilizing the Environment class to retrieve and show command-line arguments in this article. Therefore, we use the Environment Class's CommandLine property to do this task. To locate the command line for the active process, utilize this attribute. Message Type: This property returns a string as its return type.
Which of these methods accepts parameters from the command line?Only the main() method can accept parameters from the command line.
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a permanent dipole and charged particle lie on the x-axis and are separated by a distance as indicated in the figure. the dipole consists of positive and negative charge separated by a distance where . the solo particle has a negative charge and is located at .
The vector quantity with a magnitude equal to the product of the two equal charges with opposing polarity separated by a distance, d, is defined as the electric dipole moment associated with it.
The distance between the charges and a direction running along the line between the charges from the negative to the positive charge.
Two charges totaling 10.0 C and spaced 2.00 cm apart make up the dipole. The positive charge is further away from the line of charge than the negative charge, and the dipole's axis forms a 35.0° angle with the x-axis.
The dipole will be subject to a force that is Charges 2.0108C separated by a distance of 2.0103m make up an electric dipole. As seen in the picture, it is positioned so that the negative charge is 2.0 cm away from a long line charge with a linear charge density of 4.0104Cm1. The pressure on the Axis.
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a 50 g ball of clay traveling at speed v0 hits and sticks to a 1.0 kg brick sitting at rest on a frictionless surface.
The percentage of mechanical energy lost (converted into thermal energy) during the collision will be equal to 95.2%.
What is kinetic energy?Kinetic energy is the term used in physics to describe the force that a moving item has.
It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except for variations in speed, the body retains the kinetic energy it gains during acceleration.
As per the information in the question,
Ball's mass, m₁ = 50 g = 0.05 kg
Speed = v₀
Brick's Mass, m₂ = 1 kg
Assume the speed of the brick after the collision is v.
Use the equation of the principle of conservation of linear momentum,
[tex]m_1v_o+m_2u_2= v(m_1+m_2)[/tex]
0.5(v₀) + 0 = v(1 + 0.05)
v = (0.05v₀)/1.05
v = 0.048v₀.
Then the total kinetic energy will be:
K.E(initial) = 1/2 × 0.05v₀² + 1/2 × 0.05 × 0²
K.E(initial) = 0.025v₀²
Then,
K.E(final) = 1/2 × (1.05) × (0.048v₀)²
K.E(final) = 0.0012v₀²
So, the amount of mechanical energy lost in collision,
= (0.025v₀² - 0.0012v₀²)/0.025v₀² × 100
= 95.2%.
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This question seems incomplete, the complete question may be:
A 50 g ball of clay traveling at speed vo hits and sticks to a 1.0 kg brick sitting at rest on a frictionless surface. a. Find an expression for the speed of the brick after the collision in terms of vo. b. What percentage of the mechanical energy is lost (i.e. converted to thermal energy) in this collision?
a slender, uniform metal rod of mass m and length l is pivoted without friction about an axis through its midpoint and perpendicular to the rod. a horizontal spring, assumed massless and with force constant kkk, is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. (figure 1)
We start by analyzing the torques acting on the rod when it is deflected by a small angle θθtheta from the vertical. Consider first the torque due to gravity. Which of the following statements most accurately describes the effect of gravity on the rod?
Choose the best answer.
Under the action of gravity alone the rod would move to a horizontal position. But for small deflections from the vertical the torque due to gravity is sufficiently small to be ignored.
Under the action of gravity alone the rod would move to a vertical position. But for small deflections from the vertical the restoring force due to gravity is sufficiently small to be ignored.
There is no torque due to gravity on the rod.
Find the torque ττtau due to the spring. Assume that θθtheta is small enough that the spring remains effectively horizontal and you can approximate sin(θ)≈θsin(θ)≈θ (and cos(θ)≈1cos(θ)≈1).
Express the torque as a function of θθtheta and other parameters of the problem.
What is the angular frequency ωωomega of oscillations of the rod?
Express the angular frequency in terms of parameters given in the introduction.
The formula for the angular frequency is = 2/T. Radians per second are used to express angular frequency. The frequency, f = 1/T, is the period's inverse.
The motion's frequency, f = 1/T = /2, determines how many complete oscillations occur in a given amount of time.
How can the angular frequency of a simple harmonic motion be determined?
A basic harmonic oscillator's angular frequency, period T, and frequency f are given by =km = k m, T=2mk, and f=12km T = 2 m k, and f = 1 2 k m, where m is the system's mass and k is the force constant.
What is the free oscillation formula?
when the driving frequency is very near to the natural frequency, oscillations. The oscillations' amplitude is displayed in the A=m02(2d2)2+d2b2 Fo is the formula provided in the attached graphic.
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determine the kc expression for the reaction above by identifying what belongs in the numerator and what belongs in the denominator:kc
In the Kc expression, the concentration of the product is always placed at the numerator while the concentration of the reactant is placed in the denominator.
The equilibrium constant, Kc, is the ratio of the equilibrium concentrations of products over the equilibrium concentrations of reactants each raised to the power of their stoichiometric coefficients.
Kc is an equilibrium constant that is dependent on concentrations of reactants and products and is defined as.
Kc = [product]÷[reactant]
Consider a reaction
A + B ------> C + D
So its Kc expression will be as
Kc = [C].[D] ÷[A].[B]
So, The concentrations of the product always place at the numerator while the concentration of the reactant is placed in the denominator.
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Problem 22.51 A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz- plane and given by the planes crd and = -d. The y- and 2-dimensions of the slab are very large compared to d, so treat them as infinite. The slab has charge density given by p(x) = po (c/d)', where po is a positive constant. Part A Using Gauss's law, find the magnitude of the electric field due to the slab at the center of the slab 2 = 0). Express your answer in terms of some or all of the variables po, d, 3 and electric constant Eo. IV ALQ R O O ? Ex=0 = Submit Request Answer Part B Identify direction of the electric field due to the slab in different areas. Drag the labels to their appropriate locations in the diagram. Labels can be used once, more than once, or not at all. O va 0 d
The magnitude of the electric field due to the slab at the center of the slab 2 = 0) is rho X³/ 3d²E.
An electric field is a physical field that surrounds a charged particle and exerts a force on all other charged particles in the field, causing them to attract or repel. It also refers to the physical field of a charged particle system.
Calculation:-
The equation can be written as for the slab at centre is E = rho X³/ 3d²E.
An electric field can be defined as the region of space around a charged particle or object in which the charged body experiences a force. For example, Electric fields are created by charges and their components such as capacitors and battery cells. An electric field can be thought of as an electrical property associated with any point in space where some form of electric charge exists.
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BONUS: Make a sketch and label all the forces. A 2.00 kg box slides down an inclined plane
(ramp) at an angle of 20.0 degrees at a constant velocity. If the horizontal length of the
inclined plane is 2.00 m (you need to determine the actual slope length or hypotenuse):
(a) Calculate the work done by the force of gravity.
(b) Calculate the work done by the force of kinetic friction.
By signing my name to the test below, I pledge that the work that I have turned in for this
test is entirely my own and I have neither given nor received help from anyone else.
The amount of labour that gravity does is 28.58J. And the work produced by kinetic friction is -28.58J. A force that acts between moving surfaces is referred to as kinetic friction.
We may determine the slope length or hypotenuse using elementary trigonometry: cos(20) = 2.00. (slope length)
slope length: 2.00 m/cos(20) = 2.13 m
The box covers this distance while moving at a constant speed.
In terms of the forces, the total force parallel to the inclined plane acting on the box is given by the equation: F = W - f = mgsin(20) - f, where f represents friction and W is weight.
Work = Wd = (+13.2N)(2.13m) = 28.58J, which is the amount of work done by the force of kinetic friction.
The force acts in the same direction as the displacement, resulting in work.
The kinetic friction force exerts the following work:
Work= -fd =(-13.42N)(2.13m) = -28.58J
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Explain how it is possible for the voltage amplitude across the capacitor to be greater than the voltage amplitude across the source Drag the terms on the left to the appropriate blanks on the right to complete the sentences. Reset Help UR Vc + UL At any instant; vis equal to 909 But vC and UL are out of phase SO UC can be larger than v at & value of t, positive negative at that t vL + UR UR - "C UL UR + Uc + UL UL ~ UR 1800 UR + vc - VL
The voltages across the capacitor and inductor may be greater than the input voltage when the circuit is at or close to the resonance. The resistance voltage is 90 degrees behind the inductor voltage.
How do you determine a capacitor's voltage and amplitude?The VC (t) phasor has an amplitude of VC=I0XC and lags the i(t) phasor by /2 rad. The vL(t) phasor has the amplitude VL=I0XL and trails the i(t) phasor by /2 rad.
Is it possible for the voltage across the capacitor to be higher than the voltage at the source?In a series LCR circuit, the voltage drop across the inductor or capacitor can, in fact, exceed the applied voltage of the a.c. source. VC or VL may be bigger than V since VC and VL have opposing faces. The RMS current for an applied V = volts RMS voltage is I = x 10 amperes. You may calculate the component voltages by multiplying the current.
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a motorist drives south at 25m/s for 3.00 min, then turns west and travels at 20m/s for 2.60 min, and finally travels northwest at 28m/s for 1.00 min. For this 6.00min trip, find (a) the total vector displacement, (b) the average speed, and (c) the average velocity. Let the positive x axis point east.
a) D = -4273(x)-2327(y)
b) average speed v = 23.33m/s
c) average velocity V = -13.51m/s south of west.
In order to find the displacement we have to divide the motion on its X and Y components:
dx1 = 25*2*60min = 3000
dx2 = 30*1*60s/min(cos45) = 1273 m
The total X displacement is the algebraic sum of the movement:
dx = -3000 - 1273 = -4273
We have to do the same on Y:
dy1 = 20*3*60 = 3600
dy2 = 30*1*60(sin45) = 1273
dy = -3600 + 1273 =-2327m
D=-4273(x)-2327(y)
The angle is given by:
α = arctg(dy/dx)
α = 28.57 degrees
That is 28.57 degrees south of west.
the total displacement magnitude is given by:
D = √{(4273) - (2327)}
D= 4865
The average speed is given by:
v = (20*3)+(25*2)(1*60)/6*60
v =23.33 m/s
and the Average velocity is given by:
|v| = 4865/6*60
|v| =13.51 m/s
Therefore, the average velocity is V = -1351 m/s with an angle of 28.57 degrees south of west.
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a) D = -4273(x)-2327(y)
b) average speed v = 23.33m/s
c) average velocity V = -13.51m/s south of west.
In order to find the displacement we have to divide the motion on its X and Y components:
dx1 = 25*2*60min = 3000
dx2 = 30*1*60s/min(cos45) = 1273 m
The total X displacement is the algebraic sum of the movement:
dx = -3000 - 1273 = -4273
We have to do the same on Y:
dy1 = 20*3*60 = 3600
dy2 = 30*1*60(sin45) = 1273
dy = -3600 + 1273 =-2327m
D=-4273(x)-2327(y)
The angle is given by:
α = arctg(dy/dx)
α = 28.57 degrees
That is 28.57 degrees south of west.
the total displacement magnitude is given by:
D = √{(4273) - (2327)}
D= 4865
The average speed is given by:
v = (20*3)+(25*2)(1*60)/6*60
v =23.33 m/s
and the Average velocity is given by:
|v| = 4865/6*60
|v| =13.51 m/s
Therefore, the average velocity is V = -1351 m/s with an angle of 28.57 degrees south of west.
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Do different metals expand by different amounts for the same rise in temperature?
Yes, different metals expand by different amounts for the same rise in temperature. This is because different metals have different coefficients of thermal expansion, which is a measure of how much a material expands when it is heated. This means that when two different metals are heated by the same amount, they will expand by different amounts.
For example, if a metal with a high coefficient of thermal expansion is heated by 10 degrees Celsius, it will expand by a larger amount than a metal with a low coefficient of thermal expansion that is heated by the same amount. This means that different metals will expand by different amounts for the same rise in temperature, depending on their specific properties.
Additionally, the expansion of metals can also be affected by factors such as the initial temperature of the metal and the rate at which it is heated. This means that the expansion of a given metal can also vary depending on the specific conditions under which it is heated. Overall, different metals will expand by different amounts for the same rise in temperature, depending on their specific properties and the conditions under which they are heated.
a child is riding on a merry-go-around. as the speed of the merry go round is doubled, the magnitude of the centrpetal focr acting on the chuild
What is a centripetal force ?
A force could be a force that produces a body follow a incurvate path. Its direction is usually orthogonal to the motion of the body Associate in Nursingd towards the fastened purpose of the fast center of curvature of the path.
A centripetal force is a web force that acts on an object to stay it moving on a circular path.
Centripetal vs Centrifugal Force. the most distinction between centripetal force and force is that solely the previous will actually be delineate as a “force.”
A Merry-go-round.
The Gravitron.
Tetherball.
A construction Swing.
Turning during a car.
Planet Earth.
Discus Throw.
V' = 2V
Centripetal force
F' = m V'2 / r
m( 2V)2 / r
= 4mv2 / r
Hence final centripetal force is 4mv2 / r
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A ship sends sonar and receives an echo after 2 seconds. If the speed of sound waves in water is 1500 m/s, then the depth of the sea is
A 1500 m
B 500 m
C 1000 m
D 750 m
After 2seconds of sending sonar, a ship hears an echo. The depth of the sea is 1500 meters if the sound wave speed in water is 1500 m/s.
Let sea depth equal d.
Considering that the sound wave's water speed (v) is 1500 m/s
The sound must travel to the ocean's bottom before being reflected back to the ship, resulting in a total distance of two dimensions for the sound.
Time (t) = 2s for receiving the echo
Total distance traveled times the speed of sound
1500 m/s is equal to 2d/2s = 1500 m.
Consequently, the water is 1500 meters deep.
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A car is accelerating horizontally at a rate of 2.5 m/s. A mass of 250 g is hanging from the ceiling on a string 1.2 m long. The angle that the string makes with the vertical is A. 14.3° toward the back of the car. B. 76° toward the back of the car. C. 7° toward the front of the car. D. 14.3° toward the front of the car. E. 0°, or straight down.
The correct answer is D. 14.3° toward the front of the car.
When a car accelerates horizontally, the forces acting on a mass hanging from the ceiling will cause the mass to swing in a circular path. The angle that the string makes with the vertical is determined by the centripetal acceleration of the mass, which is given by the equation:
a = v² / r
where a is the centripetal acceleration, v is the velocity of the mass, and r is the radius of the circular path.
In this case, the radius of the circular path is the length of the string (1.2 m), and the velocity of the mass is the velocity of the car (2.5 m/s). Plugging these values into the equation gives us a centripetal acceleration of:
a = (2.5 m/s)² / 1.2 m = 6.25 m/s²
The angle that the string makes with the vertical can be calculated using the tangent function:
tan(A) = a / g
where A is the angle, a is the centripetal acceleration, and g is the acceleration due to gravity (9.81 m/s²).
Plugging in the values for a and g gives us the following:
tan(A) = 6.25 m/s² / 9.81 m/s² = 0.636
Solving for A gives us:
A = [tex]tan^{-1(0.636)}[/tex] = 14.3°
Since the string is hanging toward the front of the car, the angle A is towards the front of the vehicle as well, so the correct answer is D. 14.3° toward the front of the vehicle.
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Five different wind shear profiles are shown below. Please place a triangle around the letter beneath the wind shear profile that is ideal for a supercell. Please place a circle around the letter beneath the wind shear profile that is ideal for a squall line 200 mb 250 mb 300 mb 400 mb 500 mb 600 mb 700 mb 850 mb 000 mb A. C. Wind shear is calculated by finding the difference between the wind speed values at two different heights. Using the wind profile you identified as the ideal environment for a supercell, next you will calculate the 0-1 km and 0-5 km wind shear values. This means we will find the difference between the surface wind (lowest wind barb on the sounding) and the speed of the wind at lkm and 5 km. The atmospheric pressure at 1km above sea level is typically very close to 850 mb. The pressure at 5 km above sea level is very close to 500 mb. Please calculate the 0-1 km and 0-5 km wind shear values in knots (kts). 0-1km shear value 0-5km shear value
At the surface, the wind speed is between 13 to 17 knots. At 1 km or 850 MB level, the wind speed is between 48 to 52 knots. Thus, the 0-1 km wind shear is (48 -13) or (52-17) = 35 knots.
At 5 km or 500 MB level, the wind speed is between 68 to 72 knots. Thus, the 0-5 km wind shear is (68-13) or (72-17) = 55 knots.
Wind speed describes how fast air moves past a particular point. This can be averaged over specific time units. B. Miles per hour or instantaneous speed is reported as peak wind speed gust or squall. The wind is the natural movement of air or other gases against the surface of a planet.
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which of the following statements describe an exothermic reaction? [select all that apply.]group of answer choiceshrxn < 0hproducts > hreactantsthe bonds that are broken during the reaction are stronger than the bonds that are formed during the reaction.the bonds that are broken during the reaction are weaker than the bonds that are formed during the reaction.
The bonds that are broken during the reaction are weaker than the bonds that are formed during the reaction and ∆Hrxn < 0
For exothermic reaction we know that Hpreducts < Hreactants
∆Hrxn = Hproducts - Hreactants
so, ∆Hrxn < 0 , Energy is released while bond formation and energy is absorbed while bond breaking. In exothermic reaction energy is released, it indicate in exothermic reaction bonds that formed is stronger than bonds that are broken.
A chemical reaction that releases energy is called an exothermic reaction. A chemical reaction that stores energy is called an endothermic reaction. More energy might be released as products form than the energy needed to break the reactants apart.
Less energy might be released as the products form than the energy needed to break the reactants apart. This chemical reaction stores energy. In other words, it will be an endothermic reaction.
More energy is released during the chemical reaction than is needed to start the chemical reaction. It takes less energy to break the reactant bonds than the energy released as the products form.
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The Bernoulli effect can have important consequences for the design of buildings. For example, wind can blow around a skyscraper at remarkably high speed, creating low pressure. The higher atmospheric pressure in the still air inside the buildings can cause windows to pop out. As originally constructed, the John Hancock building in Boston popped window panes, which fell many stories to the sidewalk below. Suppose that a horizontal wind blows in streamline flow with a speed of 10.5 m/s outside a large pane of plate glass with dimensions 6.00 m Times 1.10 m. Assume the density of air to be constant at 1.20 kg/m^3. The air inside the building is at atmospheric pressure. What is the total force exerted by air on the window pane? If a second skyscraper is built nearby, the air speed can be especially high where wind passes through the narrow separation between the buildings. Solve part (a) again if the wind speed is 21 m/s, twice as high.
Force is 436.59 N and the speed is 1.746 kN.
A) Force F = P*A = 0.5*rho*v^2*A = 0.5*1.2*10.5^2*6*1.1 = 436.59 N
B) If v is doubled then F increases by 4 times since F is proportional to the square of the speed.
then F2 = 4*436.59 = 1746.35 N = 1.746 kN
A body can change its condition of rest or motion through the application of force, which is an external agent. It has. both a magnitude. and. a direction. The application of force is the point at which force is applied, and the direction in which the force is applied is referred to as the direction of the force. If motion is conceivable, gravitational forces can separate phases of various densities. One option is widespread melting, but high temperatures are not anticipated for the early Earth (Chapter 2). Sorting as a result of deeply buried ices outgassing is a more likely explanation. Such processes would have altered the moment of inertia, necessitating a modification of angular velocity.
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a student is asked to determine the mass of jupiter. knowing which of the following about jupiter and one of its moons will allow the determination to be made? i. the time it takes for jupiter to orbit the sun ii. the time it takes for the moon to orbit jupiter iii. the average distance between the moon and jupiter
By knowing i. the time it takes for Jupiter to orbit the sun and ii. the time it takes for the moon to orbit Jupiter's mass of Jupiter can be determined. Therefore options I and II are correct.
To determine the mass of Jupiter, the student needs information about both Jupiter's orbit around the Sun (I) and the moon's orbit around Jupiter (II).
By knowing the time it takes Jupiter to orbit the Sun (I) and the time it takes for the moon to orbit Jupiter (II), the student can use Kepler's Third Law of Planetary Motion.
This law relates the orbital period and the average distance of a moon from its planet to the mass of the planet.
By knowing both the orbital periods of Jupiter and its moon (I and II) and the average distance between the moon and Jupiter (III is not required), the student can calculate the mass of Jupiter using Kepler's Third Law.
Therefore options I and II are correct.
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If 0 > 0 means anti-clockwise rotation, then an object with angular velocity w < 0 and angular acceleration a < 0 means the object is O rotating in the anti-clockwise direction and slowing down O rotating in the clockwise direction and speeding up O rotating in the clockwise direction and slowing down The centripetal (normal) acceleration is related to O the angular velocity as angular velocity times radius O none of the rotational (angular) parameters O the angular acceleration A top is spinning counterclockwise on a flat table. Its angular momentum vector is O An arrow pointing up Zero An arrow parallel to the surface of the table An arrow pointing down
Its angular momentum vector of it is O.A. downward-pointing arrow with a clockwise motion and accelerating speed. no rotational (angular) characteristics. an upwardly directed arrow.
1. A negative angular velocity indicates that motion is in the clockwise direction. The object is speeding up because the signs of angular acceleration and velocity are both negative. Thus, turning in a clockwise direction and quickening.
2. The standard acceleration is equal to v2/R. Consequently, none of the rotational (angular parameters)
3. An arrow pointing up represents the top's angular momentum as it spins counterclockwise.
An object's or system of objects' angular momentum is a property that describes its rotational inertia as they move around an axis that may or may not pass through them. Due to its yearly rotation around the Sun and daily rotation about its axis, the Earth has both orbital and spin angular momentum. An accurate explanation of angular momentum necessitates the identification of both a magnitude and a direction because it is a vector quantity. An orbiting object's angular momentum is proportional to its linear momentum, which is the sum of its mass m and linear velocity v, multiplied by the perpendicular distance r from the center of rotation to a line drawn across its instantaneous motion.
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The Bernoulli effect can have important consequences for the design of buildings. For example, wind can blow around a skyscraper at remarkably high speed, creating low pressure. The higher atmospheric pressure in the still air inside the buildings can cause windows to pop out. As originally constructed, the John Hancock building in Boston popped window panes, which fell many stories to the sidewalk below. Suppose that a horizontal wind blows in streamline flow with a speed of 10.5 m/s outside a large pane of plate glass with dimensions 6.00 m Times 1.10 m. Assume the density of air to be constant at 1.20 kg/m^3. The air inside the building is at atmospheric pressure. What is the total force exerted by air on the window pane? If a second skyscraper is built nearby, the air speed can be especially high where wind passes through the narrow separation between the buildings. Solve part (a) again if the wind speed is 21 m/s, twice as high.
Given,
Speed of wind v = 10.5 m/s
Dimension of plate = 6 m times 1.10 m
The density of air d = 1.20 kg/m³
Therefore,
F = (1/2)dv²A
A = 6(1.10)m² [From dimension]
F = (1/2)(1.20)(10.5)²(6)(1.10)
F = 436.59 N
The force on the window pane is 436.59 N.
(a) if the wind speed is 21 m/s
F = (1/2)(1.20)(21)²(6)(1.10)
F = 1746.36 N
The force on the window pane is 1746.36 N.
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The drawing shows box 1 resting on a table, with box 2 resting on top of box 1. A massless rope passes over a massless, frictionless pulley. One end of the rope is connected to box 2, and the other end is connected to box 3. The weights of the three boxes are W1 = 51.5 N, W2 = 39.0 N, and W3 = 25.3 N. Determine the magnitude of the normal force that the table exerts on box 1.
The force that the table exerts on the box1 is 65.2N
As given in the question we are assuming box 2 and 3 aren't touching.
The forces on box 2 are:
gravitational force
Force of tension
Normal force
The box isn't accelerating so
T + N2 - Fg2 = 0
The forces acting on the box 3 are:
gravitational force
Tension
Since box 3 isn't accelerating
T - Fg3 = 0
The tension force will be same in both cases so:
Fg3 + N2 - Fg2 = 0
So
N2 = Fg2 -Fg3
N2 = Fg2 - Fg3
= 39-25.3 = 13.7 N
Remember forces are equal and opposite.
Now,
write the equation for the forces which are acting on Block 1
There is the force of gravity
normal force acting from the table and
A force which is equal and is opposite to the normal force on block 2
N1 - F(g1) - N2 = 0
N1 = Fg1 +N2
N1 = 51.5 + 13.7 = 65.2 N
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Without air resistance, a projectile fired horizontally at 8 km/s from a mountain top will
a. return to its starting position and repeat its falling behavior.
b. accelerate downward at g as it moves horizontally.
c. trace a curve that matches Earth's curvature.
d. all of the above.
e. none of the above.d. all of the above.
Without an air resistance, a projectile fired horizontally at 8 km/s from a mountain top will:
Repeat the falling action by going back to your starting position. As it goes horizontally, accelerate downward at g. Draw a line that follows the curvature of the Earth.What is Gravity?All objects with mass or energy are drawn to one another by the basic interaction of gravity. Gravity is by far the weakest of the four fundamental interactions, and is greatly outweighed by the electromagnetic force, the weak interaction, and the strong interaction. As a result, it has little effect on phenomena occurring at the level of subatomic particles. However, gravity is the most significant interaction between objects at the macroscopic level and controls the motion of planets, stars, galaxies, and even light.
Similar to how gravity on the Earth gives weight to the physical objects, the Moon's gravity creates sublunar tides in the oceans (the corresponding antipodal tide is caused by the inertia of the Earth and Moon orbiting one another). Additionally, gravity is a key factor in variety of biological processes, such as gravitropism, which controls plant development, and fluid movement in multicellular organisms. Research on consequences of weightlessness indicates that the gravity may have an impact on how the immune system and cells differentiate in the human body.
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A concert loudspeaker suspended high above the ground emits 35 W of sound power. A small microphone with a 1.0 cm2 area is 50 m from the speaker. a. What is the sound intensity at the position of the microphone? b. How much sound energy impinges on the microphone each second?
a. The sound intensity at the position of the microphone is .
b. The sound energy impinges on the microphone each second is .
The sound pressure level where the microphone is located is 1.11mW/m2. 90.46dB of sound energy impinges on the microphone every second. Acoustic intensity, also referred to as sound intensity.
Is the amount of energy carried by sound waves in a direction perpendicular to the region of the wave that they are travelling. The watt per square metro (W/m) is the SI unit of intensity, which also covers sound intensity.
Given,
Sound's force P = 35 W
50 meter's separate the speaker of a mobile phone from its little microphone.
Sound intensity at a cellphone is I = P/A.
I am equal to 35/4*pi*r2 and 35/4*pi*(502).
I = 1.11mW/m^2
The sound pressure level where the microphone is located is b = 10log(I/Io).
b = 10log(0.00111/10-12), b = 90.46 dB.
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Consider the 52.0 kg mountain climber in the figure. 15° (a) Find the tension in the rope in N) and the force that the mountain climber must exert with her feet in N) on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. tension in rope force on feet ON (b) What is the minimum coefficient of friction between her shoes and the cliff?
a. the force that the mountain climber must exert with her feet in N) on the vertical rock face to remain stationary is 273 N.
b. the minimum coefficient of friction between her shoes and the cliff is 0.268.
What is the term of friction?
The force that prohibits one solid object from traveling across another is known as friction. Static friction, sliding friction, rolling friction, and fluid friction are the four main categories of friction.
a).
Balancing the forces in x-direction,
F cos(15) = T sin(31)
F = T sin(31)/cos(15) ...... (1)
balancing the forces in y-direction,
T cos(31) + F sin(15) = 52 x 9.8 = 509.6
T cos(31) + (T sin(31)/cos(15)) sin(15) = 509.6
T = (509.6 cos(15))/(cos(31) cos(15) + sin(31) sin(15))
T = 512 N
Force, F = 512 sin(31)/cos(15)
= 273 N
b)
Coefficient of friction,
u = sin(15)/cos(15)
= 0.268
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FILL IN THE BLANK. a capacitor uses an____field to store potential electric energy which can be used as a power source when connected to a network.
A capacitor uses an electric field to store the potential electric energy which can be used as a power source when connected to a network.
A capacitor is characterized as a latent part which is utilized for putting away electrical energy. A capacitor is made of two conduits that are isolated by the dielectric material. These dielectric materials are as plates which can aggregate charges. One plate is for a positive charge while the other is for a negative charge.
The energy put away in a capacitor is only the electric possible energy and is connected with the voltage and charge on the capacitor. In the event that the capacitance of a guide is C, it is at first uncharged and it obtains a potential distinction V when associated with a battery. In the event that q is the charge on the plate around then,
q=CV
Therefore,Work done=Vdq
=>dW=(q/C)dq
=>dW=[tex]\int\limits^q_ 0[/tex](q/C)dq
=>dW=(1/2)q²/C
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You are changing lanes in traffic on a multiple-lane street. As you start to steer into the other lane, you should:
a. Slow down slightly
b. Maintain the same speed
c. Increase your speed quickly
d. Increase your speed slightly
The correct option is A. Slow down slightly, Before going right, give the right signal, check the driver's outside mirror, and turn your head to the right. On a roadway with several lanes, you are changing lanes in traffic.
On a roadway with several lanes, you are changing lanes in traffic. Maintain the same pace as you begin to turn into the opposite lane. The tracks your vehicle's rear tyres leave when rounding a corner are almost always narrower than the tracks your front tyres leave. To change your course, you can either do a two-point turn, a U-turn, or circle the block counterclockwise. You can most effectively reduce your risk by On a street with multiple lanes, the one you are in is blocked in front of you.
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15. A 5.0 g coin sliding to the right at 25.0 cm/s makes an elastic head-on collision with a 15.0 g coin that is initially at rest. After the collision, the 5.0 g coin moves to the left at 12.5 cm/s. Find the final velocity of the other coin. (12.5 cm/s, Right)
Answer: Finally, we can use this value to find the final velocity of the 15.0 g coin. Since velocity is defined as the change in position over time, and the 15.0 g coin is initially at rest, its final velocity must be equal to its final momentum divided by its mass. Therefore, the final velocity of the 15.0 g coin is 187.5 g cm/s / 15.0 g = 12.5 cm/s. Since the 5.0 g coin is moving to the right and the 15.0 g coin is moving
Explanation: To solve this problem, we can use the conservation of momentum. Momentum is a measure of an object's motion and is defined as the product of its mass and velocity. In an elastic collision, momentum is conserved, meaning that the total momentum of the system before the collision is equal to the total momentum after the collision.
We can use this principle to find the final velocity of the 15.0 g coin. First, we need to calculate the initial momentum of the system. The 5.0 g coin has an initial momentum of 5.0 g * 25.0 cm/s = 125 g cm/s. Since the 15.0 g coin is initially at rest, its initial momentum is 0 g cm/s. The total initial momentum of the system is therefore 125 g cm/s.
After the collision, the 5.0 g coin moves to the left at 12.5 cm/s, so its final momentum is 5.0 g * (-12.5 cm/s) = -62.5 g cm/s. Since momentum is conserved, the final momentum of the system must be equal to the initial momentum of the system, so the final momentum of the 15.0 g coin must be 125 g cm/s - (-62.5 g cm/s) = 187.5 g cm/s.
Finally, we can use this value to find the final velocity of the 15.0 g coin. Since velocity is defined as the change in position over time, and the 15.0 g coin is initially at rest, its final velocity must be equal to its final momentum divided by its mass. Therefore, the final velocity of the 15.0 g coin is 187.5 g cm/s / 15.0 g = 12.5 cm/s. Since the 5.0 g coin is moving to the right and the 15.0 g coin is moving
Why is the following situation impossible? Figure shows Superman attempting to drink cold water through a straw of length â„“=12.0 m. The walls of the tabular straw are very strong and do not collapse. With his great strength, he achieves maximum possible suction and enjoys drinking the cold water.
(a) The maximum height to which Superman can lift the water is 10.32874 m
(b) On the Moon there is no atmosphere so no atmospheric pressure which means when the straw is placed in water water will not rise in the tube.
Pₐ = Atmospheric pressure = 101325 Pa
g = Acceleration due to gravity = 9.81 m/s²
h = Height of water
ρ = Density of water = 1000 kg/m³
If the walls of the tube do not collapse that means that maximum pressure inside will be the atmospheric pressure
Atmospheric pressure is given by
Pₐ = ρgh
height = Pₐ /ρg
h = 101325 / 1000 * 9.81
h = 10.328 m
The maximum height is 10.32874 m.
(b) On the Moon there is no atmosphere so no atmospheric pressure which means when the straw is placed in water water will not rise in the tube.
Therefore, the maximum height to which Superman can lift the water is 10.32874 m.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: Superman attempts to drink water through a very long vertical straw. With his great strength, he achieves maximum possible suction. The walls of the tubular straw don't collapse.
(a) Find the maximum height through which he can lift the water.
(b) Still thirsty, the Man of Steel repeats his attempt on the Moon, which has no atmosphere. Find the difference between the water levels inside and outside the straw.]
Two lamps, one with a thick filament and one with a thin filament of the same material, are connected in parallel to a battery. The current is
a) larger in the lamp with the thin filament
b) the same in both lamps
c) larger in the lamp with thick filamentc
The two lamps, the one with a thick filament and one with a thin filament of the same material, are connected in parallel to a battery. The current is the same in both lamps.
The correct option is b
Current is a drift of electrical fee vendors, commonly electrons or electron-poor atoms. The commonplace image for modern is the uppercase letter I. the same old unit is the ampere, symbolized by way of A.
An electric current is a float of charged particles. In metal conductors the charged particles are unfastened electrons. The electrons are free to transport from one ion to another and a internet glide of those electrons in one path is an electric modern-day.
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