Answer:
The required steady force of each rocket is 28.79 N
Explanation:
mass of the satellite, M=3900 kg
radius, r=4.3 m
mass of rocket, m=210 kg
time, t=5.4 min
Moment of Inertia:
I = 1/2 (Mr^2) + 4mr^2
I = 1/2 ( 3900* (4.3)^2) + 4 (210)*(4.3)^2
I = 51587.1 kg m^2
the angular acceleration is:
a= w/t
here w= 2*π*30
so,
a= 2*π*30 / 5.4* 3600
a=0.0096 rad/ s^2
the Torque becomes:
T=I*a = 4r*F
( 51587.1 )*(0.0096) = 4*4.3* F
F= 28.79 N
the required steady force of each rocket is 28.79 N
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Suppose an acorn with a mass of 3.17 g falls off a tree. At a particular moment during the fall, the acorn has a kinetic energy of 0.119 J and a potential energy of 0.347 J with respect to the ground. How does the acorn's potential and kinetic energy change as it falls
Potential and kinetic energy both decrease with the acorn's falling potential and kinetic energy.
The acorn's potential energy is at its peak when it reaches the top of the tree, yet its kinetic energy is zero (i.e., it is not accelerating).
The height of the ball reduces along with the potential energy as the acorn tumbles down the tree, but the kinetic energy rises (energy due to motion)
The height will be 0 and the kinetic and potential energy will be zero at the ground. This demonstrates that as an item falls, both potential and kinetic energy are lost.
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What is the colour of third band of a coded resistor having resistance equal equal to 2.3*10`2
Color of third band of a coded resistor is Brown.
What is Resistance:
Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, omega (Ω)The color code specify the resistance value, the tolerance, and sometimes the reliability or failure rate.
How to identify resistor's color codes:
Look at the resistor so the group of 3 or 4 color bands are on the left sideRead the color bands from left to right.Read the color on the last color band, which is farthest right.compare the colors to the resistance code tableHere,
the value of resistance is 2.3x10^2 Ω
R = 23x10^1 Ω
here power of 10 is 1
so, the color of third band of a color coded resistor will be related to number 1
Hence,
color of third band of a coded resistor is Brown.
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Here, a long solenoid of 20000 turns/meter and r=2 cm is oriented along the z-axis (outer circle). There is a small coil of 10 loops of wire of radius 1 cm concentric with the solenoid and lying in the x-y plane (inner circle). An alternating current of magnitude 10 A switches direction every 0.01 seconds in the solenoid. What is the magnitude of the EMF generated in the small loop, in Volts?
Hello!
Recall that the magnetic field produced by a solenoid with a time-varying current is given by:
[tex]B(t) = \mu_0 ni(t)[/tex]
[tex]B(t)[/tex] = time-varying magnetic field (T)
[tex]\mu_0[/tex] = Permeability of free space (4π × 10⁻⁷ Tm/A)
[tex]n[/tex] = number of turns/meter (20000)
[tex]i(t)[/tex] = time-varying current
**Since we have AC current, we can use a sinusoidal function to represent the current.
Let's now figure out the expression for the current.
The typical format of a sinusoidal function for current is:
[tex]i(t) = Asin(\omega t + \phi)[/tex]
A = amplitude (max current, 10 A)
ω = angular frequency (rad/sec)
φ = phase shift (we will assume there is not one since it is not given.)
We are also assuming we are starting from t = 0 s.
Now we need to solve for the angular frequency to complete our equation.
If the current changes direction every 0.01 seconds, that means that the PERIOD of the current is double this (aka, how long it takes for the current to repeat the same magnitude and direction).
Think about AC current like an oscillating mass on a spring. When the current changes directions, (every 0.01 sec), there is momentarily no current (temporarily no moving charge). The peak current will occur at the halfway point between each change in direction, or every 0.005 sec. Additionally, using this analogy, the mass on a spring changes direction TWICE before it returns to its original position, which is why our period here is double the time it takes for the current to switch directions.
So:
[tex]T = 2(0.01) = 0.02[/tex]
Now, we can convert from period to angular frequency.
[tex]\omega = \frac{2\pi}{T} = \frac{2\pi}{0.02} = 100\pi[/tex]
We have the current equation as:
[tex]i(t) = 10sin(100\pi t)[/tex]
So, our magnetic field produced by the solenoid will be:
[tex]B(t) = (4\pi *10^{-7})(20000)(10sin(100\pi t) )= 0.251sin(100\pi t)[/tex]
Since we have that figured out, we can use Faraday's Law to find the induced emf:
[tex]\epsilon = -N \frac{d\Phi_B}{dt}[/tex]
ε = Induced EMF (V)
N = number of loops in COIL (10 loops)
[tex]\Phi_B[/tex] = Magnetic Flux (Wb)
The area of the coil is constant so we can rewrite the equation as:
[tex]\epsilon = -N * A\frac{dB}{dt}[/tex]
Where 'A' is the cross-sectional area of the COIL.
Let's calculate that:
[tex]A = \pi (0.01^2) = 0.000314 m^2[/tex]
Now, let's calculate the induced emf. Using our equation for 'B' we got earlier:
[tex]B(t) = 0.251sin(100\pi t)\\\\\frac{dB}{dt} = (100\pi)(0.251)cos(100\pi t) = 78.957cos(100\pi t)[/tex]
Combining this into Faraday's equation:
[tex]\epsilon = -N * A\frac{dB}{dt}\\\\\epsilon = -(10)(0.000314)(78.957cos(100\pi t) = -2.48cos(100\pi t)[/tex]
The magnitude is the absolute value, so:
[tex]\epsilon = \boxed{2.48cos(100\pi t) \text{ V}}[/tex]
Imagine that you are in a car, driving along the main road. Along the road there are signs telling you how far it is to the next town. At the roadside, there many be marker posts every 100 metres. Describe how you could use these roadsigns to work out the average speed of the car.
Pls give a descriptional answer, thank you very much.
The average speed can be calculated by dividing the total distance traveled by the total time taken.
What is the average speed?The average speed of a vehicle can be calculated by finding the ratio of the total distance traveled and the total time taken on the journey.
Average speed = total distance covered/total time taken
Since there are markers that indicate every 100-meter journey. The total number of such marker posts encountered multiplied by 100 will give an estimate of the total distance traveled in meters.
A record of the time taken on the journey will give the total time taken.
Hence, average speed = total number of marker posts x 100/total time.
The unit will be in m/s.
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Object a with a mass of 1.5 kilograms is moving with a velocity of 11.2 meters/second (moving in the x direction). it has a perfectly elastic collision with stationary object b that has a mass of 4.5 kilograms. after the collision, object b travels with a velocity of 5.6 meters/second. what is the final velocity for object a? a. 3.8 meters/second in the same direction b. -3.8 meters/second in the opposite direction c. 5.6 meters/second in the same direction d. -5.6 meters/second in the opposite direction e. -6.2 meters/second in the opposite direction
The final velocity for object a is 5.6 m/s in the opposite direction.
From the conservation of momentum, we know that the collision between two objects will result in the conservation of initial momentum and the final momentum i.e.,
Pi = Pf
It is given that,
m₁ = 1.5 kg
u₁ = 11.2 m/s
m₂= 4.5 kg
u₂= 0
v₂= 5.6 m/s
We need to find v₁.
Using momentum conservation
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
1.5 × 11.2 + 4.5 × 0 = 1.5 × v₁ + 4.5 × 5.6
16.8 + 0 = 1.5 × v₁ + 25.2
-8.4/ 1.5 = v₁
v₁ = - 5.6 m/s
Here, the negative sign shows that body is moving in the opposite direction.
Hence, option (d) is correct.
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Find the mass of a body if the acceleration the body used to move is given as 5 m/s-2 and the force of the body is 30N take g=10 m/s-2
The mass of a body if the acceleration the body used to move is given as 5 m/s-2 will be 3 kg.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
Force is defined as the product of mass and acceleration. Its unit is Newton.
Given data;
Force,F = 30 N
Mass,m = kg
Acceleration,a = 5 m/s²
The force is found as;
F=ma
30 N =m kg × 5 m/s²
m=3 kg
Hence the mass of a body will be 3 kg.
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Fehling's solution is added to the counters of test tube b after about 3 minutes and it turns brick red.what food substance was used?
The food substance being used which turned Fehling's solution to brick red is a reducing sugar.
What is Fehling's solution?This is an indicator which is used to test for the presence of reducing sugar or aldehydes in a solution.
Brick red precipitate of copper(I) oxide is formed when it tests positive to compounds such as glucose etc.
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How much horsepower is produced by 2023 z’s 3. 0-liter twin-turbo 6-cylinder engine?.
The engine is rated at 400 horsepower at 6,400 rpm and 350 lb-ft of torque starting from 1,600 to 5,200 rpm.
Horsepower:
The power an engine produces is referred to as horsepower. It is determined by the amount of force required to move 550 pounds one foot in a second or 33,000 pounds one foot in a minute. The speed at which the work is completed serves as a gauge of power.
Equation to calculate horsepowe:
Simple math can be used to get horsepower: Horsepower = Torque x RPM / 5,252. To test it out for yourself, use the horsepower calculator below. Knowing a few more fundamental terminology and formulas can help you comprehend how a dynamometer determines torque and power.
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Is volume measured using a balance?
What is the formula for calculating the efficiency of a heat engine?
Answer: efficiency =WQH=1−TCTH
Explanation: i looked it up
The total amount of charge that passes through a wire's full cross section at any point per unit of time is referred to as
Answer:
The current in a circuit can be determined as total amount of charge passes through a wire's full cross section area.
Explanation:
what is current?The current is a flow of electrical charge carriers electrons.
The current is denoted with symbol uppercase letter I.
The standard unit for current is the ampere, symbolized by A.
Current is the change in charge with change in time.
Hence we can say that,
The current in a circuit can be determined as total amount of charge passes through a wire's full cross section area.
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A hydroelectric power station (dam) turns energy
from
into
A. Gravitational; Electrical
B. Kinetic; electrical
C. Kinetic; gravitational
O D. Gravitational; Kinetic
A hydroelectric power station turns energy from kinetic into electrical.
What's the function of turbine connected in hydroelectric power station?Turbine is device that is connected in the path of water flow in the hydroelectric power station.So that it is rotated by the current of high speed water in a magnetic field.Due to this rotation, we get current by Faraday's method.Here the rotation of the turbine leads to the kinetic energy that is being converted to electrical energy.Thus, we can conclude that hydroelectric power station turns energy from kinetic into electrical.
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A hobby rocket reaches a height of 72.3 m and lands 111 m from the launch point with no air resistance. What was the angle of launch
Answer:
The angle of launch is 52.49 Degree.
Explanation:
The Range R and Height H of a thrown object is calculated using the formula,
R=V₀² sin(2φ)/g
H=V₀²sin²(φ)/g
From these equations it can be written,
V₀²=R g/ sin(2φ)
V₀²=H g/ sin²(φ)
These values are equal so it can be written by equating these equations,
R g/sin(2φ)=H g/sin²(φ)
tan(φ)= 2H/R
Given H=72.3 m and R=111 m, the angle of launch is,
tan(φ)= 2*72.3/111
φ= 52.49 Degree.
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In terms of net charge, how does an electrically polarized object differ from an electrically charged object?.
Answer:
An electrically polarized object can have zero net charge, while a charged object cannot have zero net charge.
I hope this helps :D
Imagine that a star-forming cloud collapses but retains all of its mass in a single blob. In order to conserve angular momentum, the cloud must Choose one: A. spin at the same rate. B. spin faster. C. come to a complete stop. D. spin slower.
Imagine that a star-forming cloud collapses but retains all of its mass in a single blob. In order to conserve angular momentum, the cloud must spin faster.
Conservation of angular momentum is a physical characteristic of a rotational system that keeps its rotation constant unless it is affected by an external torque. In other words, the speed is constant as long as the net torque is zero.
In angular kinematics, conservation of angular momentum refers to the tendency of the system to preserve angular momentum in the absence of external torque. If the objects collide without net external torque, the angular momentum is constant. The two objects exert equal but opposite angular momentums to maintain the full angular momentum of the colliding system.
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12. A rear-end collision involved a 40-year-old vehicle. The driver and front-seat passenger both sustained serious neck injuries. Which modern energy-absorbing device protects against such injuries
Head restraints are energy-absorbing device that protects against such injuries.
Head restraints are a car protection characteristic, connected or included into the pinnacle of each seat to restrict the rearward motion of the grownup occupant's head, relative to the torso, in a collision to save you or mitigate whiplash or damage to the cervical vertebrae.
Powerful head restraints are designed to reduce the rearward motion of the head in a rear-end crash and reduce the probability of occupants maintaining whiplash neck injuries. Head restraints are generally known as head rests.
Make certain the top of the top restraint is at least a degree from the pinnacle of your head. The role is the pinnacle restraint so it's as near the again of your head as possible. You may need to alter the again of seat.
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You are operating a pwc in an area where swimmers are in the water. When must you slow your pwc to "slow, no wake speed"?.
You should slow your pwc to "slow, no wake speed" when within 100 feet of anchored vessels or non-motorized craft.
What is Slow-no-wake?This is the process of operating a personal watercraft at the slowest possible speed.
This helps to maintain steerage which prevents different forms of accident or risks when in motion in the water.
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A spring is 4 cm long. A student hangs a weight of 2N. It is now 5.5 cm long.
(i) What is the extension?
(i) What would be the extension with a weight of 6N?
(ili) What would be the length of the spring with a weight of 8N?
Your washer has power of 450 watts, and your dryer has a power of 3000
watts. How much energy do you use to clean a load of clothes in 1 hour of
washing and 1.5 hours of drying?
OA. 3.11 x 107 J
OB. 1.78 x 107 J
OC. 5.17 x 10³ J
OD. 2.97 x 10³ J
The electrical energy used = 3.11 x 107 J; option A
What is the energy used?The energy used is calculated using the formula below:
Energy = Power × timeThe total power = 3450 Watts
Total time in seconds = 2.5 × 3600 = 9000 s
Energy used = 3450 × 9000 = 3.11 x 107 J
In conclusion, electrical energy is the product of power and time.
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In example 18. 4 of the text, the deflection angle of the laser beam as it exits the prism is 22. 6º. If the prism had been made of glass instead of polystyrene plastic, what would the deflection angle have been?.
The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
As we know that the deflection angle is an angle between the moving object from its directed course.
In the following question the deflection angle as laser enters the beam is, B = 22.6º
refractive index of glass, n1= 1.52
refractive index of polystyrene plastic, n2 = 1.59
Now when we see for the second surface then ,
B = 45º - 22.6º
B = 22.40º
So from Snell's law:
n1 sinθ1 = n2 sinθ2
→ sin B / sinθ = n1 / n2
sinθ = (sin 22.40º) × ( 1/ 1.59)
θ = 37.29º
Thus, the deflection angle should be 37.29º if the prism is made of polystyrene plastic.
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A 2kg ball rotates on the end of a 1.4m long string. The ball makes 5 revolutions in 4.4s. What is the speed of the ball?
Group of answer choices
a) .88m/s
b) 8.79m/s
c) 9.93m/s
d) 1.99m/s
The speed or the linear velocity of the stone is 9.93 m/s; option C
What is the speed or linear velocity of the stone?The linear velocity of the stone is given by the formula below:
v = wrwhere w is angular velocity and r is radius.
w = θ/t
1 complete revolution = 2π radians
5 revolutions = 10π radians
w = 10π/4.4 rad/s
v = 10π/4.4 rad/s * 1.4
v = 9.93 m/s
In conclusion, the linear velocity is obtained from the angular velocity and radius of the string.
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Pls help. This is about heat. I got the answer, just need the working
Answer:
See below
Explanation:
You have to heat the calorimeter to 100 C from 20 C
this will take .20 kg * 390 j /kg-C * 80 C = 6240 j
You have to heat the mass of water to boiling point (100 C ) from 20C
this will take
.50 kg * 4182 j/kg-C * 80 = 167,280 j
AND you have to add enough heat to boil off .03 kg of water:
.03 kg * (2260000 j/kg-C ) = 67,800 j
Power = joules / sec = (6240 + 167280 + 67800) / 274.8 = 878 watts
Your answer may differ just a bit for slightly different or rounded values of specific heat or heat of fusion for water .....
9. A couple of ice cubes float in a glass of water. Will the water level in the glass change when the ice cubes have melted? Explain your answer.
yes or no
Answer:
according to the Archimedes principle , the floating substance displaces some liquid, so when the ice melts ,there will be no change in the water level as the melted ice will occupy the same volume as it was occupying earlier.
Explanation:
If line segment ru is considered the base of parallelogram rstu, what is the corresponding height of the parallelogram?.
The corresponding height of the given parallelogram is 5.4 units
steps involved:
Given that the basis of the parallelogram RSTU is thought to be the line segment RU with vertices R(1, 1) and U(4, 5).
The parallelogram's top is therefore defined as the line segment ST with vertices S(7, 0) and T(10, 4).
The length of a line with endpoints at RU and ST and that is perpendicular to both RU and ST is the length that corresponds to the parallelogram's height.
Given by is the equation for the line segment RU.
Let the slope of the line perpendicular to line RU be m, then provided that two lines are perpendicular, the product of the slope of the two lines is -1.
Consequently, the equation for the line passing through point (1, 1) and perpendicular to RU is
Therefore, the corresponding height of the given parallelogram is 5.4 units
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Suppose a satellite were orbiting the Earth just above the surface. What is its centripetalacceleration?
The centripetal acceleration of the satellite will be less than acceleration due to gravity on earth (g).
Calculation of centripetal acceleration of satellite:
Let the radius of earth be, R
Let the radius of satellite be, R'
Let the gravitational constant be, G
Let the acceleration due to gravity (earth) be, g
Let the mass of earth be M
Step 1:
We know that the orbital velocity of satellite can be given as:
v =√GM/R' - ( 1 )
Thus, the centripetal acceleration of the satellite will be:
a_c = v²/R' = GM/R'² - ( 2 )
The acceleration due to gravity is given as:
g = GM/R² - ( 3 )
Step 2:
From equation 2 and 3 we get:
a_c/g = GM/R'² ÷ GM/R²
a_c/g = R²/R'² < 1
Step 3:
Thus we get:
a_c/g < 1
a_c < g
Therefore, the centripetal acceleration of the satellite is smaller than acceleration due to gravity on earth.
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A circular solenoid contains 100 turns of wire and carries a current of 2 A. Its radius is 1 cm and its length is 10 cm. Calculate the magnetic flux through one turn of the wire making the solenoid.
The magnetic flux through one turn of the wire making the solenoid is 7.88*10^-7 T m^2.
B = unI
= 4pi*10^-7*(100/0.1)*2
= 0.00251 T
Therefore, Flux = B*Area
= 0.00251*pi*(0.01^2)
= 7.88*10^-7 T m^2
Magnetic flux is a measurement of the entire magnetic discipline which passes thru a given vicinity. It's far a useful device for helping describe the outcomes of the magnetic pressure on something occupying a given vicinity. The size of the magnetic flux is tied to the specific location chosen.
The SI unit of magnetic flux is the Weber (Wb). A flux density of 1 Wb/m2 (one Weber in keeping with rectangular meter) is one Tesla (T).
A magnetic subject describes a location in which a magnetic pressure may be felt. Magnetic flux describes how a good deal of magnetic discipline passes through a place.
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The launching velocity of a missile is 20.0 m/s, and it is shot at 53º above the horizontal. Which of the velocity components (neglecting air resistance) remains constant throughout the flight?
A. Vertical
B. Horizontal
Answer:
The horizontal component of velocity (B) remains constant because no components of the external force act on this component of velocity
(the force of gravity affects the vertical component of velocity)
A spiral spring has a length of 14 cm when a force of 4 N is hung on it. A force of 6 N extends
the spring by 4 cm. Calculate the unstretched length of the spring.
Answer:
bussy
Explanation:
shart
What's the velocity of a ball falling with 100 jules of kinetic energy and a mass of 2 kilograms?
Answer:
v = 10m/s.
Explanation:
100 = 1/2×2×v^2
100 = 1×v^2
v^2 = √100
v=10 m/s
A stone that is dropped freely from the rest traveled half the total height in the second. with what velocity will it strike the ground
The stone will strike the ground with velocity of 33.5 m/s.
What is velocity:
Velocity is the directional speed as an indication of its rate of change in position observed from a particular frame of reference.velocity formula is basically displacement divided by time.What is displacement:
It is an vector quantity with magnitude and direction.It defines as the change in position of an object.Here,
Stone is dropped freely from rest, so it's Initial velocity will be zero.
u = 0 m/s
displacement is equal to half of total height.
y = h/2
since Stone is dropped freely, a=g ( acceleration of gravity)
According to Newton's equation of motion:
y = u* t + 1/2 (at^2)
h/2 = 0 + 1/2 (gt^2)
h = g* t^2 -----1
now at t= t+1 , displacement y = h
h = u* t + ½ g (t + 1)²
h = ½ g (t + 1)² -----2
comparing both equations,
g* t^2 = ½ g (t + 1)²
2t² = (t + 1)²
2t² = t² + 2t + 1
t² − 2t = 1
t² − 2t + 1 = 2
(t − 1)² = 2
t − 1 = ±√2
t = 1 ± √2
Since t > 0, t = 1 + √2.
So t+1 = 2 + √2.
At that time, the speed is:
v = at + u
v = g (2 + √2) + 0
v = g (2 + √2)
If g = 9.8 m/s²,
v = 33.5 m/s.
The stone will strike the ground with velocity of 33.5 m/s.
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