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

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

What is its speed?

Express your answer using two significant figures.

v=__________c

Expert Solution

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

genius_generous answered 6 months ago

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