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A small block of mass M moves on a fric...

A small block of mass `M` moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from `60^(@)` to `30^(@)` at point `B`. The block is many at rest at `A`. Assume that collisions between the block id the incline are totally inelastic.
The speed of the block at point `B` immediately after it strikes the second incline is

A

`sqrt60` m/s

B

`sqrt45` m/s

C

`sqrt30` m/s

D

`sqrt15` m/s

Text Solution

Verified by Experts

The correct Answer is:
B
At point B the block has an inelastic collision with the incline, so component of velocity perpendicular to incline plane becomes zero and component parallel to second surface is retained. `h=sqrt3tan60^@ =3 m`
Velocity immediately after it strikes the second line
`v=sqrt(2gh) cos 30^@ =sqrt(2xx10xx3)xxsqrt3/2=sqrt45` m/s.
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