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Question

A 20 kg block is placed on top of 50 kg block as shown in the figure. A horizontal force F acting on A produces an acceleration of 3 m/s2 in A and 2 m/s2 in B as shown in the figure. For this situation, choose the correction option(s).

A
The friction force between A and B is 40 N.
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B
The net force acting on A is 150 N.
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C
The value of F is 190 N.
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D
The value of F is 150 N.
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Solution

The correct options are
A The friction force between A and B is 40 N.
B The net force acting on A is 150 N.
C The value of F is 190 N.

Using the FBD of the block B,
Friction force on block B, f=mBaB=20×2=40 N
Using the FBD of the block A,
Ff=mAaA=50×3=150 N
F=150+40=190 N


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