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An object has a relativistic momentum that is 7.3 times greater than its classical momentum. What is...

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Physics

An object has a relativistic momentum that is 7.3 times greaterthan its classical momentum.

What is its speed?

Express your answer using two significant figures.

v=__________c

Answer & Explanation Solved by verified expert
4.5 Ratings (595 Votes)

Relativistic momentum P = 7.3 ( classical momentum)

   (m o v) / [1 -(v 2 / c 2 ) ] 1/2 = 7.3 m o v

(m o ) / [1 -(v 2 / c 2 ) ] 1/2 = 7.3 m o

    1 / [1 -(v 2 / c 2 ) ] 1/2 = 7.3

         [1 -(v 2 / c 2 ) ] 1/2 = 1 / 7.3

                                   = 0.1369

      [1 -(v 2 / c 2 ) ]   = 0.0187

                 (v 2 / c 2 ) = 0.9812

                      v / c = 0.9905

                          v = 0.9905 c

                          v = 0.99 c
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