Answers
It is given that,
Cube Length (L) = 0.29m
Density of Cube (Pc) = 0.89 *103 Kg/m3
Density of Liquid (P1) = 1.5 *103 Kg/m3
Distance (d) =?
We know that,
d = {(P1 - Pc)/P1}*L
d = {(1.5*103–0.89*103)/1.5*103}* 0.29
d = {(1.5 – 0.89)/1.5} * 0.29
d = 0.118m
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The expression to find distance using the given quantities is:
d = ( ρl - ρc ) L / ρl
How to apply this expression to find distance?In this question, it is given that a cube with length L= 0.29 meter and the density of cube ρc = 0.89×103 kg/m3 and it floats in equilibrium in liquid of density ρl = 1.5×103 kg/m3 with the top of the cube a distance d above the liquid surface. So here is the liquid, and the cube will float on the liquid at a distance d. Thus, the expression in terms of the given quantities to find distance d can be written as-
d = ( ρl - ρc ) L/ρl
We are given that,
Density of cube, ρc = 0.89×103 kg/[tex]m^{3}[/tex]
Density of liquid, ρl = 1.5×103 kg/[tex]m^{3}[/tex]
Edge length of cube, L = 0.29 m
So, on substituting the given values in above expression, we get:
d = [(1.5×103 – 0.89×103) / 1.5×103] × 0.29
d = [(1.5 – 0.89) / 1.5] × 0.29
d = 0.118 m
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Related Questions
During each heartbeat, approximately 73 cm^3 of blood is pushed from the heart at an average pressure of 105 mm-Hg. Calculate the power output of the heart, in watts, assuming 70 beats per minute.
Answers
The heart's power output , based on an assumption of 70 beats per minute, is 0.93W. An average of 105 mm-Hg of pressure is used to push out 73 cm3 of blood throughout each heartbeat.
Power is the quantity of energy that is transported or transformed per unit of time in physics. The average blood pressure is 105 mm Hg, or 70 beats per minute, or 1.16 beats per second (1 mm Hg = 133 N/m2), depending on the number of heartbeats per minute.
Power output is given by the formula P =nW,
where n =heart rate work done is given by the formula
W = =pAd =pV,
therefore W =pV.
derived from equations (1) and (2), P =nPV = ((70/60)beats/s)(105133 N/m2)(7310-6m3)
P = 0.93 W for power output
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When heated, why does aluminum turn to powder
Answers
When the temperature of aluminium is increased, the metal expands and this is called thermal expansion.
Answer:
2). Until it was recently discontinued, the fastest jet plane in the skies was
the Lockheed SR-71 Blackbird. However, this plane did not reach its
high speeds through large acceleration. The plane had a mass 7.7x104 kg and was
driven by an estimated unbalanced force of about 7.23x105 N. What was the
acceleration of the Lockheed SR-71?
Answers
The acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass, and using the formula F = m × a, where m = mass, a = acceleration.
What is acceleration?The rate at which an object's velocity with respect to time changes is called its acceleration. It is a vector quantity. The direction of the net force imposed on an object determines its acceleration in relation to that force.
What is force?A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
What are the calculations?F = m × a
7.23 × [tex]10^{5}[/tex] = 7.7 × [tex]10^{4}[/tex] × a
9.38 × [tex]10^{2}[/tex] = a
Hence, the acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass.
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A typical ceiling fan running at high speed has an airflow of about 1.25 ✕ 103 ft3/min, meaning that about 1.25 ✕ 103 cubic feet of air move over the fan blades each minute.
Answers
The speed of 1.25 ×10³ ft³/min of the airflow is equivalent to 0.56 m³/s.
What is speed?The speed of a moving body can be defined as a measurement of how quickly the distance a body traveled changes with time. Speed is defined as a scalar parameter as it exhibits magnitude but no direction.
A body that travels faster and with high speed, can travel a lot of ground in a lesser time.
Given, the speed of the airflow of the fan = 1.25 ×10³ ft³/min
We have to express the ft³/min into m³/s:
We know that 1 foot = 0.3 m and 1 min = 60 s
1.25 ×10³ ft³/min = 1.25 ×10³ (0.3 m)³/ 60 s
1.25 ×10³ ft³/min = 0.56 × 10³ ×10⁻³ m³/s
1.25 ×10³ ft³/min = 0.56 m³/s
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a double-decker london bus (figure 1) might be in danger of rolling over in a highway accident, but at the low speeds of its urban environment, it's plenty stable. the track width is 2.05 m. with no passengers, the height of the center of gravity is 1.45 m, rising to 1.73 m when the bus is loaded to capacity. What are the critical angles for both the unloaded and loaded bus?
Answers
When the bus is fully loaded, the center of gravity rises to 1.73 m, and the critical angles are 35.3 degrees for the unloaded bus and 30.6 degrees for the loaded bus, respectively.
Center of gravity: What is it?Theoretically, the body's total weight is concentrated at a location called the center of gravity.
What distinguishes the center of mass from the center of gravity?The main distinction between the centers of mass and gravity is that the center of gravity refers to the location where the total weight of the body is balanced, whereas the center of mass refers to the location where the body's complete mass is directed.
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Part A Is the electric field strength in (Figure 1) changing, or not changing? Match the words in the left column to the appropriate blanks in the sentences on the right. Reset Help Ampere-Maxwell law, first half, According to the magnetic field Ampere-Maxwell law, second half, Faraday's law, can create the electric field, and not vice versa. So the figure doesn't make sense. is created by currents. Since there is no current, the figure doesn't make sense. can be created by the static electric field. So the electric field strength is not changing. can be created by the changing electric field. So the electric field strength is changing
Answers
According to Ampere Maxwell's law, the first half, the magnetic field can be created by the changing electric field. So, the electric field strength is changing.
In a static electric field, according to Ampere maxwell law, the divergence at one point is equal to the electric charge volume density ρ at that point divided by ε0. The physical meaning of this statement is that a circulating magnetic field is created by an electric current and also may be by an electric field that changes with time.
An electric current, or we can say a changing electric flux through a surface, has the ability to produce a circulating magnetic field around a path that bounds the given surface. The direction of the current and the induced magnetic field is known by the right-hand rule, as shown below.
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an athlete of mass 50 kg runs up a hill the foot of the hill is 400m above sea level. by how much potential does the athletes gravitational potential energy increase? (Acceleration due to gravity g=10 m/s2
Answers
The potential of the athletes gravitational potential energy during running up a hill increases by 245000 Joules.
What is the gravitational potential energy?The energy that an object stores as a function of its height or vertical position is known as gravitational potential energy. Because of the Earth's gravitational pull on the object, the energy is stored.
The relationship between mass, gravity, and change in height is defined mathematically. The formula is used to calculate it is:
PE = m × g × h
Here, it is given that-
The mass of the athlete = 50 Kg
The Initial height, h1 = 400 m
The final height, h2 = 900 m
Firstly, gravitational potential energy is calculated when athlete is at a height of h1 that is 400 m. On the putting the given values in the formula-
PE1 = 50 × 9.8 × 400
PE1 = 196000 Joules
Next, we will calculate the gravitational potential energy when athlete is at a height of h2 that is 900 m. By putting the values in the formula, we get-
PE2 = 50 × 9.8 × 900
PE2 = 441000 Joules
Now, to calculate the increase in gravitational potential energy when athlete runs up a hill from a height of 400m to 900m we can subtract the potential energies-
Potential by which athlete's gravitational potential energy increases = PE2 - PE1 = 441000 - 196000 = 245000 Joules or 245 kilo joules
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The complete question is:
An athlete with a mass of 50 kg runs up a hill. The foot of the hill is 400 m above sea level and the summit is 900 m above sea level. Calculate by how much the athlete's gravitational potential energy increases.
While running up a hill, an athlete's gravitational potential energy increases by 245,000 joules.
How much energy does gravity potentially hold?
Gravitational potential energy is the amount of energy an object may hold depending on its height or vertical position. The energy is trapped by the gravitational pull of the Earth on the object.
Mathematical formulas are used to define the relationship between mass, gravity, and height change. It is calculated using the following formula:
PE = m × g × h
It is said here that-
The athlete weighs 50 kg.
Initial height, 400 m (h1)
H2 = 900 metres is the final height.
First, the athlete's gravitational potential energy is determined when they are 400 metres above the ground (h1). Upon entering the specified values into the formula:
PE1 = 50 × 9.8 × 400
196000 Joules for PE1.
The gravitational potential energy for an athlete at a height of h2 of 900 m will then be determined. When we enter the values into the formula, we obtain:
PE2 = 50 × 9.8 × 900
PE2 equals 441,000 Joules
Now, we can subtract the potential energies to determine the increase in gravitational potential energy that occurs when an athlete sprints up a hill from a height of 400 to 900 metres.
PE2 - PE1 = 441000 - 196000 = 245000 Joules, or 245 kilojoules, is the potential by which an athlete's gravitational potential energy increases.
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A car travels east with an acceleration of 0.20 m/s2east. It takes 45.0s to travel from position xiat 250.0 m east of the origin, to position xfat 1250 m east of the origin. What is the initial velocity of the car at position xi
Answers
With the use of second equation of motion, the magnitude of the initial velocity of the object is 17.72 m/s
What is Velocity ?Velocity is the distance travel in a specific direction per time taken. It is a vector quantity and it is measured in m/s
Given that a car travels east with an acceleration of 0.20 m/s². It takes 45.0s to travel from position xi at 250.0 m east of the origin, to position xf at 1250 m east of the origin. That is,
Acceleration a = 0.20 m/s²Time t = 45 sDistance s = 1250 - 250 = 1000 m Initial velocity u = ?The initial velocity of the car at position xi can be found by using the formula
s = ut + 1/2at²
Substitute all the parameters
1000 = 45u + 1/2 × 0.2 × 45²
1000 = 45u + 202.5
45u = 1000 - 202.5
45u = 797.5
u = 797.5/45
u = 17.72 m/s
Therefore, the initial velocity of the car at position xi is 17.72 m/s
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Which of the following observations provides the best evidence for the big bang theory? A. The spacing of galaxies within the universe B. The location of the gas giants in our solar system C. The length contraction seen at speeds close to c D. The redshift seen in light from other galaxies
Answers
The spacing of galaxies inside the universe provides the strongest evidence for the big bang theory, hence choice A is the correct one.
What is The Big Bang Theory explain?Astronomers use the big bang theory to describe how the cosmos came into being. It is the hypothesis that the universe started out as a single point, then grew and stretched until it reached its current size—and is still growing. Jim Parsons has given an explanation for why he is leaving The Big Bang Theory. The American actor, who has been Sheldon Cooper in the critically acclaimed sitcom for 12 seasons, stated in an interview with The Hollywood Reporter that it was time for him to depart since it had "become increasingly challenging."
Is The Big Bang Theory fact or truth?Although a hypothesis can never be proven, it must be "testable" through observation or experimentation. Despite these significant issues, the Big Bang Theory has so far mainly held up to observations and is widely regarded among the cosmology community.
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If a ball is released from a window ledge, how fast will it be travelling when it reaches the ground, 43 m below?
Answers
29 m/sec fast it will be travelling when it reaches the ground, 43 m below.
What is conservation of energy?Energy conservation, a basic rule of physics and chemistry states that despite internal changes, the overall energy of an isolated system remains constant. It is the underlying principle of the first rule of thermodynamics, which is most frequently stated as "energy cannot be generated or destroyed."
As an illustration, a radio converts electrical energy into sound energy.
Given that,
height (h) = 43 m
g = 9.8 m/sec
Using the conservation of energy,
mgh = 1/2 m v²
or, v = [tex]\sqrt{2gh}[/tex]
or, v = [tex]\sqrt{2 * 9.8 * 43}[/tex]
or, v = 29 m/sec.
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A stone is thrown horizontally from a vertical cliff at a speed of 20 meters per second. The cliff is 30 meters above sea level and the
stone hits the sea after 2.5 seconds.
How far from the base of the cliff is the stone when it hits the sea? (g = 10 m/s)
1.5 POINTS
Answers
Answer:
Below
Explanation:
Find out how long it takes to fall the 30 m ....then use this time and the horizontal velocity to find the answer
For vertical : d = 1/2 a t^2
30 = 1/2 (10) t^2 so t = sqrt 6
Horizontal velocity * time = distance from cliff base
20 m/s * sqrt 6 = 48.99 = ~ 49 meters
A 75-W light source consumes 75 W of electrical power. Assume all this energy goes into emitted light of wavelength 600 nm. (a) Calculate the frequency of the emitted light. (b) How many photons per second does the source emit? (c) Are the answers to parts (a) and (b) the same? Is the frequency of the light the same thing as the number of photons emitted per second? Explain.
Answers
If we rearrange the circuit so that the inductor and capacitor were connected in series,the impedance would be Decreased and the resonant frequency would be unchanged.
What is frequency?Frequency is the rate at which something occurs over a particular period of time or in a given sample.
Sol-An LC circuit is made up of an inductor (L) and a capacitor (C). At the resonance condition of the LC circuit, the inductive reactance XL. becomes equal to the capacitive reactance Xc.
It is defined as-
XL= 2πfL
Xc= 1/2πfC
So when reactances are equal we have-
XL=Xc
2πfL= 1/2πfC
f^2=1/4π^2LC
f=1/2π√LC
The resonance condition is the same for both the parallel and series LC circuit, so the resonance frequency will not change.
The impedance of a parallel LC circuit is:
Z(w)= jL w^2-w^2•/w
In a series LC circuit, when w
, the impedance becomes equal to 0.
Therefore the impedance of a series LC circuit will decrease and the resonant frequency will remain the same.
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A 2050 kg space station orbits Earth at an altitude of 4.89 x 105 m. Find the magnitude of the force with which the space
station attracts Earth. The mass and mean radius of Earth are 5.98 x 1024 kg and 6.37 x 106 m, respectively.
Answers
Answer:
Explanation:
Given:
m = 2 050 km
M = 5.98·10²⁴ kg
h = 4.89·10⁵ m
R = 6.37·10⁶ m
____________
F - ?
F = G·m·M / R²
F = 6.67·10⁻¹¹·2050·5.98·10²⁴ / (6.37·10⁶)² = 18 400 N
What are the period and amplitude of the following wave? HELP!
Answers
Amplitude is one of these qualities. The largest movement of a particle on the medium from its rest position is referred to as a wave's amplitude.
Wavelength:
The wavelength of the wave is the distance covered by it throughout a whole oscillation.
A metre is the wavelength's SI unit (m).
Frequency:
The frequency of a wave is the number of oscillations it performs in a second.
It's calibrated in hertz (Hz).
time frame
The amplitude of the wave is the length of time it takes for one oscillation to complete.
Time is measured in S amplitude:
The wave's amplitude is defined as its largest departure from its mean or equilibrium position.
A measure of amplitude
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5. Refer to Model 3. What is the relationship between the frequency of electromagnetic radiation and the
wavelength of electromagnetic radiation? Cite numerical evidence to support your answer. Need this ASAP
Answers
Answer:
The frequency and wavelength of electromagnetic radiation are inversely related.
Explanation:
Frequency and wavelength are inversely proportional. Theoretically, they are governed by [tex]\lambda * f = v[/tex], where lambda represents the wavelength, f represents the frequency, and v represents the speed of a wave. In this case, we can empirically notice from model 3 that as the wavelength increases(i.e., we move to the right of the electromagnetic radiation spectrum), the frequency decreases and vice versa. For example, long radio waves have a very high wavelength and a low frequency, whereas gamma rays(on left) have very high frequencies and low wavelengths. Thus, we can conclude that they are inversely related.
A net force of 140 Newton's is applied to a wagon for 10 seconds. This causes the wagon to undergo a change of momentum of
Answers
When a net force of 140 Newton's is applied to a wagon for 10 seconds, this causes the wagon to undergo a change of momentum of 1400 Newton-second.
What is momentum?momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
Given that:
Net force acting on the wagon: F = 140 Newton.
Time duration: t = 10 seconds.
According to Isaac Newton's second equation of motion:
Force acting on the wagon = change in momentum/time duration
⇒ Change in momentum = Force acting on the wagon × time duration
= 140 × 10 Newton-second.
= 1400 Newton-second.
Hence, The wagon undergoes a change of momentum of 1400 Newton-second.
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why do living organisms release radiation
Answers
To maintain constant body temperature, living organisms release heat radiation.
What is the process of release heat radiation by living organisms?Life is dependent on homeostasis, which is the preservation of stable internal conditions, in warm-blooded animals. The consistent body temperature is one of homeostasis's signs. Depending on the species, this temperature for animals should range from 35 to 39.5 °C.
A portion of the heat generated in cells during breathing must be expelled in order to maintain a steady body temperature. Living things can lose heat through convection, conduction, radiation, and the loss of water through breathing and sweating (2260 KJ/Kg is the heat at which water vaporises). Imperceptible sweating and perceptible sweating are the two types of sweating that exist. The body naturally experiences unnoticeable sweating throughout the day.
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a 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t
Answers
The average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about b. 10000N
As is visible from the graph
the velocity of the space probe at t = 0 sec
v₁ = 5000 m/s
the velocity of the space probe at t = 100 sec
v₂ = 0 m/s
therefore, average negative acceleration = v₂ - v₁ / t
= 0 - 5000 / 100 m/s²
therefore average force exerted on the probe
F = ma = 200 × 50 N
= 10000N
hence the average force is 10000N
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(complete question)
A 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about... A) 2 800 N B) 10 000 N C) 145 000 N D) 29 000 000 N
several forces are applied to the pipe assembly shown. knowing that the pipe has inner and outer diameters equal to 1.61 in. and 1.90 in., respectively, determine the normal and shearing stresses at (a) point h, (b) point k
Answers
At points h and k, the normal linear shearing strains are 0.423 in.3 and 0.16536 in.3, or 1982.3 psi and 156.1 psi, respectively.
How does science define force?The word "force" has a specific meaning in science. At this level, calling a force a push or indeed a pull is entirely appropriate. A energy is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.
Briefing:
To replace all forces on a pipe by the equivalent force
T= 8× 50 = 400lb.in
M = 16.30 = 480lb.in
F₂ = 50lb
To calculate the polar moment of inertia of shaft is
J = π/π²×(R⁴-r⁴)
= π²/2×(0.875⁴ - 0.750⁴)
= 0.423in.³
To calculate the moment of inertia
J= 1/2(J)
=1/2 (0.423)
=0.21188in.³
To calculate shear flow
Qy= 2/3(R³-r³)
= 2/3(0.875³- 0.750³)
= 0.16536in.³
To calculate the thickness of the shaft
t= R-r = 0.875 - 0.750 = 0.125 in.
The stress due to torsions is.
Tx = TR/J = 400 × 0.875/0.42376
=825. 9psi.
The stress due to bending
Qx =My/T = 480 × 0.875/0.2118
=1982.3psi
The stress due to transverse shear
Qx = VQ/I(2t)
=50 × 0.16536/0.2118× 0.250
=156.1psi
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Mike runs 400 m at track race in 58 seconds. What is his velocity?
Answers
Answer:6.897m/s
Explanation: velocity is the change of distance with time in a specified direction.
therefore to find velocity divide distance given by Time
V=distance/time
=400m/58s
=6.897m/s
can anyone help me with this question:
a swimmer swims at 5m/s. How long would it take to swim 5 laps of a 50m pool
Answers
Answer:
Time=Distance÷Speed
Time=250m(50m×5)÷5m/s
Time=50s
Which of the following distance vector features prevents routing loops by advertising an infinite metric route when a route fails?
Answers
Route poising, as opposed to merely discontinuing to display the route, refers to promoting the unsuccessful route with a "infinite" metric. Poison reversal is the practice of poisoning a route by publicizing it.
Reverse is what?In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in equations or equations with its opposite in order to depict a situation in which time moves backwards or the motion are inverted. The cosmos cannot be "unmixed." This eventually suggests the time only exists as a result of the Big Bang.
Reverse time: What is it?In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in formulas for equations with its opposite in order to represent a situation in which time moves backward or all motions are inverted.
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Element Q has a half-life of 30 minutes. Which of the following statements is true regarding 4 nuclei of element Q after 90 minutes? Half of the last remaining nucleus will decay There will be 4 nuclei left There is a 50% chance the last remaining nucleus will have decayed There will be 2 nuclei left.
Answers
After 90 minutes, there is a 50% chance that the final nucleus will have decayed because element Q has a half-life of 30 minutes for its 4 nuclei. This phrase is frequently used in nuclear physics.
Examining the interaction that now exists between chemists and philosophers of chemistry gives a very singular chance to consider the conceptual nature of the term "element." Robert Boyle, an English scientist, initially proposed the chemical element. A quantity (of substancehalf-life )'s (symbol t12) is the amount of time needed for it to decrease to half of its original value. The phrase is frequently used in nuclear physics to refer to how long stable atoms last or how quickly unstable atoms decay radioactively.
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Can you pls help me
Answers
types and uses of metals
Answers
Answer:
PLS RATE AS BRAINIEST
Explanation:
Types of metals are:-
FERROUS METALS:- these are metals that contain iron in them and some additional mineral elements e.g iron(fe), gold(Au) Zinc(zn)NON FERROUS METALS:- these are metals that do not contain iron in them e.g aluminium, copper, lead, nickel, tin, titanium and zinc, as well as copper alloys like brass and bronzeUSES OF METALS
To make cooking wares.To make cooking wares.In making electric appliances, electric wires, fridge etc.To make cooking wares.In making electric appliances, electric wires, fridge etc.Sheets of aluminium and iron for buildings materials.To make cooking wares.In making electric appliances, electric wires, fridge etc.Sheets of aluminium and iron for buildings materials.In manufacturing jewellery from gold, silver, coins and from copper, aluminium etc.I HOPE THIS HELPED
PLease HELP WILL GIVE BRAINLY
Finally, observe the values of horizontal acceleration for the point masses and the dynamic models for the man and the boy. What can you say about acceleration?
Answers
We can say some external things about body accelaration.
What is body accelaration?Acceleration of a body is the given as change in velocity is the per unit time of a body. That means it is the ratio of to the final velocity - initially the velocity. Accelaration = v - u t .
As per the given question -
We have to observe the value of horizontal accelaration for boy masses
And the dynamics model for the man and boy.
We can say about accelaration that is accelaration rate at which velocity change with time.in terms of both speed and direction.
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which of the following correctly states the value and units of the acceleration of gravity on earth? which of the following correctly states the value and units of the acceleration of gravity on earth? 9.8 km/s 9.8 m/s 9.8 m2/s 9.8 km/s2 9.8 m/s2
Answers
The magnitude and units of the earth's gravitational acceleration are 9.8 m/s2 downward. The motion of an object is altered by a net force.
What causes acceleration?
Acceleration is the rate at which the speed and direction of a moving object shift over time. Anything is said to be speeding when it starts to move either faster or slower. Even if the speed is constant, motion on a circle accelerates because the direction is constantly shifting.
What three forms of acceleration are there?
Mainly, The three different types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration. A motion in which an object moves in a straight line while accelerating is referred to as uniform acceleration.
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Given the following two (2) force vectors F₁-5i-2j+3k [N] and F2= 8i+2j+3k [N], find (a)
The angle between both vectors. Next, find (b) the projection (or shadow length) of force F1 on F2.
Lastly, find (c) the projection of F2 on F₁. Show all work and make sure you use proper vector
otation. (Hint: Use Dot Product)
Answers
Refer to the attached photo. Would appreciate a rate :)
For an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively. The resistance and inductance are fixed at R= 55022 and L = 0.2 H. Find the average power dissipated in the resistor for the following values for the capacitance: (a) C = 76uF and (b) C = 7.6uF.
Answers
For an RLC series circuit :
a. The average power dissipated in the resistor for the following values for the capacitance C = 76uF is 3.97W
b. The average power dissipated in the resistor for the following values for the capacitance C = 7.6uF is 4.2W
What is capacitance?It is the ability of a component or circuit to collect and store energy in the form of an electrical charge. Capacitors are energy-storing devices available in many sizes and shapes.
a. How to calculate the average power for the capacitance C = 76uF?
V₀ = 100V
n = 500Hz
R = 550 Ω
L = 0.2H
XL = WL = 2 * π * F * L = 2 * 3.14 * 500 * 0.2 = 628 Ω
Xc = 1 / Wc
= 10^6 / 2 * 500 * π * 76
= 10^3 / 76 * 3.14
= 1000 / 238.64
= 4.19 Ω
Z = √R² + (XL - Xc)²
= √550² + (628 - 4.19)²
= √302,500 + 389,138.9
= 831.65Ω
peak current
Io = Vo / Z
= 100 / 831.65
= 0.12A
Irms = Io / √2
= 0.12 / 1.414
= 0.085A
Average power dissipated Pav = Irms^2 * R
= 0.085^2 * 550
= 3.97W
Therefore, the average power dissipated in the resistor for capacitance value 76uF is 3.97W.
b. How to calculate the average power for the capacitance C = 7.6uF?
Xc = 10^6 / 1000 * π * 7.6
= 1000 / 7.6 * 3.14= 41.9Ω
Z = √R² + (XL - Xc)²
= √550² + (628-41.9)²
= √302,500 + 343,513.21
= 803.75Ω
Io = Vo / Z
= 100 / 803.75
= 0.124 A
Irms = Io / √2
= 0.124 / 1.414
= 0.0877 A
Average power dissipated Pav = Irms^2 * R
= 0.0877² * 550
= 4.23W
Therefore, the average power dissipated in the resistor for the capacitance value 7.6uF is 4.23W.
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What is the correct definition of a resistor?
O a substance capable of transmitting and creating an electric charge
O a component that resists the flow of electricity
O a device that allows electrical energy to flow through a complete path
O the difference in electric charge between two points
Answers
A resistor is an electrical component that limits or regulates the flow of electrical current in an electronic circuit.
What is the main purpose of resistor in devices?The amount of resistance in an electrical circuit represents the resistance to current flow. The Greek letter omega (), which represents resistance, represents ohms.Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, active components, and terminating transmission lines.When a resistor is inserted into a circuit, the amount of current flowing through the circuit is reduced. Because a portion of the energy in the current is lost as heat in the resistor, the overall current is reduced.To learn more about resistor refer to:
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