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ArbitrLikvidat [17]
3 years ago
12

Jack rolled a marble down a ramp and recorded the potential energy and kinetic energy of the marble at different positions on th

e ramp, as shown in the table. Marble experiment Height of Marble from Ground (meters) Potential Energy of Marble (Joules) Kinetic Energy of Marble (Joules) Total Energy of Marble (Joules) Trial 1 1 1 3 4 Trial 2 2 3 1 4 Which is the independent variable in this experiment? Mass of marble Kinetic energy of marble Potential energy of marble Height of marble from ground
Physics
1 answer:
mote1985 [20]3 years ago
6 0

Answer: D

Height of marble from ground

Explanation:

From the formula of kinetic energy and potential energy,

K.E = 1/2mv^2

While

P.E = mgh

From all the parameters given from the question. You can see that mass is constant, acceleration due to gravity is also constant.

Independent variable must be a value that can varies.

Since Jack rolled a marble down a ramp and recorded the potential energy and kinetic energy of the marble at different positions on the ramp to see the effects on both energies.

This different position must be the height which will produce an effect on the potential and kinetic energy of the marble.

Independent variable always provides an effect for dependent variable. Which are kinetic energy and potential energy in this case.

Height of marble from ground is the right answer.

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For this case we have that by definition, the momentum is given by:

p = mv

Where,

  • <em>m: mass </em>
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Therefore, replacing values we have:

3000 = (2000) v

From here, we clear the value of the speed:

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Answer:

The electron’s velocity is 0.9999 c m/s.

Explanation:

Given that,

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We know the rest mass of electron = 0.511 Mev

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Using formula of energy

K_{rel}=(\gamma-1)mc^2

\dfrac{K_{rel}}{mc^2}=\gamma-1

Put the value into the formula

\gamma=\dfrac{105.7}{0.511}+1

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Using formula of velocity

\gamma=\dfrac{1}{\sqrt{1-(\dfrac{v}{c})^2}}

\gamma^2=\dfrac{1}{1-\dfrac{v^2}{c^2}}

\gamma^2-\gamma^2\times\dfrac{v^2}{c^2}=1

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Put the value into the formula

v^2=\dfrac{1-(208)^2}{-208^2}\times c^2

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Hence, The electron’s velocity is 0.9999 c m/s.

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(a) -39.4^{\circ}

Let's take the initial direction (before the collision) of the cue ball has positive x-direction.

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where

m is the mass of each ball

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Solving for \phi_2, we find the angle between the direction of motion of the second ball and the original direction of motion:

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