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A particle P is projected from a point o...

A particle P is projected from a point on the surface of a smooth inclined pane (see figure). Simultaneously another particle Q is released on the smooth inclined plane from the same postion. P and Q colide on the inclined plane after `t=4` seconds. Find the speed projection in m/s.

A

`5m//s`

B

`10 m//s`

C

`15 m//s`

D

`20 m//s`

Text Solution

Verified by Experts

The correct Answer is:
B

It can be observed from figure that `P` and `Q` shall collide if the initial component of velocity of `P` along incline. `u_(||) =0` that is particle is projected perpendicular to incline.

`:. ` Time of flight `T=(2mu_|_)/(gcos theta)=(2u)/(gcos theta)`
`:. u=(gTcos theta)/(2)=10m//s`
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