A constant force acts on a body of mass m which is at rest. A velocity v is acquired in moving a special 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

Workdone = Force `xx` displacement
The energy is manifested as kinetic energy ,K.E. = `1/2mv_2` = constant since v acquired is of a definite magnitude. `1/2mv_2` = constant . `v_2 = 2/m `constant or `v prop 1/sqrtm`