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When mass and speed of a body is doubled...

When mass and speed of a body is doubled the kinetic energy increases

A

2 times

B

4 times

C

8 times

D

16 times

Text Solution

Verified by Experts

Suppose Initial mass `(m _(1)) = m kg`
Initial velocity `(v _(1)) = v m//s`
Given `m _(2) = 2m kg `
`v _(2) = 2v m//s`
Initial kinetic energy, `K _(1) = (1)/(2) mv ^(2) ...(1)`
Final kinetic energy, `K _(2) = (1)/(2) xx 2m xx 4v ^(2)`
`(K _(1))/( K _(2)) = (1 xx mv ^(2)) /( 2 xx 4 mv ^(2)) ....(2)`
`= 1/8`
`K _(2) = 8 K _(1)`
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