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Same force acts on two bodies of differe...

Same force acts on two bodies of different masses 3 kg and 5 kg initially at rest. The ratio of time required to acquire same final velocity is

A

`5: 3`

B

`25 : 9`

C

`9 : 25`

D

`3 : 5`

Text Solution

Verified by Experts

The correct Answer is:
D
`t =(v)/(a) rArr t prop (1)/(a) " "[v ="constant"]`
`(t_(1))/(t_(2))=(a_(2))/(a_(1)) = (m_(1))/(m_(2))[F = ma rArr m prop (1)/(a)] therefore (t_(1))/(t_(2)) =(3)/(5)`
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