A block of mass M is pulled along a frictionless horizontal suface by a rope of mass m by applying a horizontal force F at the other end of the rope. The force exerted by the rope on the block is

Options

A. `(mF)/(m + M)`
B. `(mF)/(M - m)`
C. `(MF)/(M - m)`
D. `(MF)/(m+M)`

Explanation

Acceleration of the system,
a = `("total force")/("total mass") = (F)/(m + M)`
The force exerted by the rope on the block,
`Ma = (MF)/(m + M)`
The option D is correct.