Modern Physics: Mastering Physics: Work Required to Accelerate Relativistic Particles

Part A

How much work

must be done on a particle with a mass of

to accelerate it from rest to a speed of 0.909 ${\it c}$ ?

Express your answer as a multiple of $mc^{2}$ to three significant figures.

ANSWER:

1.399

$mc^2$

Part B
How much work must be done on a particle with a mass of to accelerate it from a speed of 0.909 ${\it c}$ to a speed of 0.990 ${\it c}$ ?

Express your answer as a multiple of $mc^{2}$ to three significant figures.

ANSWER:

4.690

$mc^2$

Modern Physics