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A block of mass 2kg slides down the face...

A block of mass `2kg` slides down the face of a smooth `45^@` wedge of mass `9 kg` as shown in the figure. The wedge is placed on a frictionless horizontal surface. Determine the acceleration of the wedge.

A

`2ms^(-2)`

B

`11/(sqrt(2))ms^(-2)`

C

`1 ms^(-2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
a is the acceleration of the block w.r.t the wedge

For blpock `N+mA sin 45^2=mgcos45^@`………i
For wedge `N sin 45^(@)=MA`……………ii
From eqn i and ii `A=1m//s^2`
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