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IP A particle has a kinetic energy equal to its rest

Chapter 29, Problem 68P

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QUESTION:

Problem 68P

IP A particle has a kinetic energy equal to its rest energy, (a) What is the speed of this particle? (b) If the kinetic energy of this particle is doubled, does its speed increase by a more than, less than, or exactly a factor of 2? Explain. (c) Calculate the speed of a particle whose kinetic energy is twice its rest energy.

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QUESTION:

Problem 68P

IP A particle has a kinetic energy equal to its rest energy, (a) What is the speed of this particle? (b) If the kinetic energy of this particle is doubled, does its speed increase by a more than, less than, or exactly a factor of 2? Explain. (c) Calculate the speed of a particle whose kinetic energy is twice its rest energy.

ANSWER:

Step 1 of 3:-

a)

Here, we have to find the speed of the particle.

Given that,

.

So, the speed of the particle must be 0.866 c.

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