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

Options

A. `v prop (1)/(sqrtm)`
B. `v prop (1)/(m)`
C. `v prop m`
D. `v prop sqrtm`

Answer

A

Explanation

Work done= Force `xx` displacement
The energy is manifested as kinetic energy , K.E. `= ½ mv^(2)`= constant since v acquired is of a definite magnitude `½ mv^(2)`= constant, `v^(2)= (2)/(m)` constant or `v prop (1)/(sqrtm)`