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In figuer, shown all the surfaces are fr...

In figuer, shown all the surfaces are frictionless, and mass of the block is `m=100g`. The block and the wedge are held initially at rest. Now the wedge is given a horizontal acceleration of `10ms^-2` by applying a force on the wedge, so that the block does not slip on the wedge. Then find the work done in joules by the normal force in ground frame on the block in `1s`.

A

5J

B

2J

C

10J

D

15J

Text Solution

Verified by Experts

The correct Answer is:
A
If block does not slip then, `a=g tan theta`
`implies 10=10 tan thetaimplies theta=45^@`

`N sin theta=maimpliesNxx1/sqrt2=0.1xx10impliesN=sqrt2N`
`S=1/2xxat^2=1/2xx10(1)^2=5m`
`W_N=NS cos theta=sqrt2xx5xx1//sqrt2=5J`
Alternatively: `W_N=1/2mv^2=1/2(0.1)(at)^2=5J`
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