An inclined plane is moving up with constant velocity `v`. A block kept on incline is at rest. Calculate the work done by gravity, friction force, and normal reaciton on block in time interval of t.

Explanation

As the block is at rest w.r.t. inclined plane, hence, the friciton between blocks and plane will be of static nature and will act in the direciton up the plane

Free-body diagram of block:
a. For work done by gravity
`W_(gravity)=vecF*vecs`
`=mg*vtcos180^@`
`=mgvt(-1)`
`=-mgvt`

b. Work done by normal reaction
`W_(normal)=N*vt*costheta`
`=(mgcostheta)vtcostheta`
`=mgvtcos^2theta`

c. Work done by friction force
`W_(f riction)=F*vt cos(90-theta)`
`=(mgsintheta)*vtsintheta`
`=mgvtsin^2theta`