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A contant force starts acting on a body ...

A contant force starts acting on a body of mass m at rest. The velocity v acquired in treveling a specific distance depends on m as

A

`v prop (1)/(sqrtm)`

B

`v prop (1)/(m)`

C

`v prop m`

D

`v prop sqrtm`

Text Solution

Verified by Experts

The correct Answer is:
A
Work done = Force `xx` Displacement.
the energy is manifested as kinetic energy.
`KE = (1)/(2) mv ^(2) = ` constant
Since, v is acquired is of definite magnitude,
`(1)/(2) mv ^(2)=` constant
`v ^(2) = (2)/(m) xx` constant or `v prop (1)/(sqrtm)`
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