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

Answer

A

Explanation

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