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A body starts from rest and is acted on ...

A body starts from rest and is acted on by a constant force. The ratio of kinetic energy gained by it in the first five seconds to that gained in the next five seconds is

A

`2 : 1`

B

`1 : 1`

C

`3 : 1`

D

`1 : 3`

Text Solution

Verified by Experts

The correct Answer is:
`(4)`
`KE = 1/2 mv^(2) = 1/2m("gt")^(2) (because v = gt)`
`K_(1)/K_(2) = t_(1)^(2)/(t_(2)^(2) - t_(1)^(2))` where `t_(1) = 5 sec and t_(2) = 10 sec`
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