Relativistic Mechanics - Questions

Relativistic Mechanics

































Any new theory should agree with the old theory it replaces whenever the old theory was found to be in agreement with experiment. This requirement is called

(A) Mach's Principle.
(B) The Principle of Least Action.
(C) The Principle of Conservation.
(D) The Correspondence Principle

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Any new theory should agree with the old theory it replaces whenever the old theory was found to be in agreement with experiment. This requirement is called

(A) Mach's Principle. --- No.

We never discussed that.


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r42.1

































Any new theory should agree with the old theory it replaces whenever the old theory was found to be in agreement with experiment. This requirement is called

(B) The Principle of Least Action. --- No.
That is a procedure for obtaining
laws of motion.


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Any new theory should agree with the old theory it replaces whenever the old theory was found to be in agreement with experiment. This requirement is called

(C) The Principle of Conservation. --- No.
That might be a good name for it,
but it's the wrong answer.


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Any new theory should agree with the old theory it replaces whenever the old theory was found to be in agreement with experiment. This requirement is called

(D) The Correspondence Principle. --- Yes.

We applied it to relativistic mechanics.


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For an accelerated particle, proper time and rest-mass are defined

(A) using gravity because of the acceleration.
(B) in the inertial frame of the observer.
(C) in the instantaneous rest-frame of the particle.
(D) only in the universal inertial frame.



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For an accelerated particle, proper time and rest-mass are defined

(A) using gravity because of the acceleration. --- No.

Gravity is not needed here.



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For an accelerated particle, proper time and rest-mass are defined

(B) in the inertial frame of the observer. --- No.

There can be lots of observers and they will disagree.



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For an accelerated particle, proper time and rest-mass are defined

(C) in the instantaneous rest-frame of the particle. --- Yes.

The frame in which the particle is momentarily at rest.



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For an accelerated particle, proper time and rest-mass are defined

(D) only in the universal inertial frame. --- No.

There is no such frame.



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If a a particle whose rest-mass-energy is 1 Mev travels at 5/13 the speed of light, its kinetic energy is

(A) (1/13)Mev. --- (B) (1/12)Mev.

(C) (2/3)Mev. - - - (D) (8/5)Mev.



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If a a particle whose rest-mass-energy is 1 Mev travels at 5/13 the speed of light, its kinetic energy is

(A) (1/13)Mev. --- No.

You should be dividing by 12/13
--- 12 will end up in the denominator.


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If a a particle whose rest-mass-energy is 1 Mev travels at 5/13 the speed of light, its kinetic energy is
(B) (1/12)Mev.
Yes and here is how you calculate it:

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If a a particle whose rest-mass-energy is 1 Mev travels at 5/13 the speed of light, its kinetic energy is

(C) (2/3)Mev. -- No.

That would be the answer at
4/5 the speed of light.


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If a a particle whose rest-mass-energy is 1 Mev travels at 5/13 the speed of light, its kinetic energy is

(D) (8/5)Mev. --- No.

That would be the answer
at 12/13 the speed of light.


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The speed of light is m/s. How much energy is released when the mass of a system decreases by one gram (a thousandth of a kg).

(A) J. - - - (B) J.

(C) J. --- (D) J.


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The speed of light is m/s. How much energy is released when the mass of a system decreases by one gram (a thousandth of a kg).

(A) J. --- No.

You forgot to square the speed of light.


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The speed of light is m/s. How much energy is released when the mass of a system decreases by one gram (a thousandth of a kg).

(B) J. --- No.

That would be the answer for a milligram.


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The speed of light is m/s. How much energy is released when the mass of a system decreases by one gram (a thousandth of a kg).

(C) J. --- Yes.


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The speed of light is m/s. How much energy is released when the mass of a system decreases by one gram (a thousandth of a kg).

(D) J. --- No.

That would be the answer for a kilogram.


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r42.4