Question

**Part A**

How fast must an object travel for its total energy to be 10 % more than its rest energy?

Express your answer using two significant figures.

**Part B**

How fast must an object travel for its total energy to 90 % more than its rest energy?

Express your answer using two significant figures.

Answer #1

Total energy = 1.10 (rest energy)

rest energy + kinetic energy = 1.10 (rest energy)

kinetic energy = 0.10 (rest energy)

( - 1)
mc^{2} = 0.10 m c^{2}

= 1.10

1/sqrt (1 - (V/c)^{2}) = 1.10

1/sqrt (1 - (V/(3 x 10^{8}))^{2}) = 1.10

V = 1.3 x 10^{8} m/s

B)

Total energy = 1.90 (rest energy)

rest energy + kinetic energy = 1.90 (rest energy)

kinetic energy = 0.90 (rest energy)

( - 1)
mc^{2} = 0.90 m c^{2}

= 1.90

1/sqrt (1 - (V/c)^{2}) = 1.90

1/sqrt (1 - (V/(3 x 10^{8}))^{2}) = 1.90

V = 2.6 x 10^{8} m/s

An object has a total energy that is 2.8 times its rest
energy.
Part A
Part complete
What is its speed?
Express your answer using two significant figures.
v =
0.93
c
SubmitPrevious Answers
Correct
Part B
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Express your answer using two significant figures.

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