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A block of mass m is pushed towards a mo...

A block of mass `m` is pushed towards a movable wedge of mass `nm` and height `h`, with a velocity `u`. All surfaces are smooth. The minimum value of `u` for which the block will reach the top of the wedge is

A

Block will reach top of the wedge if `u=sqrt(2gh(1-(1)/(n)))`

B

Block will reach top of the wedge if `u=sqrt(2gh(1+(1)/(n)))`

C

If the block overshoots `P`, the angle of projectile is `alpha`.

D

If the block overshoots `P`, the angle of projectile is less than `alpha`.

Text Solution

Verified by Experts

When the particle just reaches the top of the wedge
`mu=(m+n)v`…..(`1`)
`u=sqrt(2gh(1+(1)/(n)))`
Angle of projection as observed by the ground will be loss than `alpha`
`vecv_(block//ground)=vecv_(block//"wedge")+vecv_(block//ground)`
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