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A block of mass m is kept on a platform ...

A block of mass m is kept on a platform which starts from rest with constant acceleration g/2 upward, as shown in fig. Work done by normal reaction on block in time t is :

A

`(m g^(2)t^(2))/(8)`

B

0

C

`- (m g^(2) t^(2))/(8)`

D

`(3m g^(2) t^(2))/(8)`

Text Solution

Verified by Experts

The correct Answer is:
D

`N- mg = (mg)/(2)`
`N= (3mg)/(2)`
`s= u t+ (1)/(2) a t^(2)`
`=0 + (1)/(2) (g)/(2)(t)^(2)= (g)/(4) t^(2)`
`W_(N)`= Force `xx` Displacement `= (3mg)/(2) xx (g t^(2))/(4)`
`rArr (3mg^(2) t^(2))/(8)`
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