A vertical spring with force constant `k` is fixed on a table. A ball of mass `m` at a height `h` above the free upper end of the spring falls vertically on the spring , so that the spring is compressed by a distance `d`. The net work done in the process is

Options

A. `mg(h+d)-(1)/(2)kd^(2)`
B. `mg(h-d)-(1)/(2)kf^(2)`
C. `mg(h-d)+(1)/(2)kd^(2)`
D. `mg(h+d)+(1)/(2)kd^(2)`

Answer

A

Explanation

Gravitational potential energy of ball gets converted into elastic potential energy of the spring.
Net work done
`mgh(h+d)-(1)/(2)kd^(2)=0`