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A constant force acts on a body of mass ...

A constant force acts on a body of mass m which is at rest. A velocity v is acquired in moving a specific distance. The quantities v and m are related as

A

` vprop 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 x Displacement.
The energy is manifested as kinetic energy.
`KE=1/2mv^2` = constant
Since, vis acquired is of a definite magnitude.
`1/(2)mv^2`= constant
`v^2 = 2/m xx` constant or `v prop 1/sqrtm`
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