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A block of mass m is at rest with respec...

A block of mass `m` is at rest with respect to a tough inclined kept in alevator moving up with acceleration a which of following statement is correct?

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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`
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