Question

Consider an arbitrary mass at rest. Take 4/5ths of the mass and use all the energy...

Consider an arbitrary mass at rest. Take 4/5ths of the mass and use all the energy from it to accelerate the remaining 1/5th of the mass. Determine the final velocity (in m/s) of the 1/5th mass.

Include a problem statement, show all work, and explain your answer.

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Answer #1

Let the total mass of the arbitrary mass is m.

Let the final velocity of the 1/5 th of the mass is v.

We know from Einstein's mass and energy relation

  

  

  

  

The final velocity of the 1/5 th mass is 8.4853 108 m/s.

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