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Q.

A 20-kg block is placed on top of a 50-kg block as shown in figure. An horizontal force F acting on A causes an acceleration of 3 ms−2 to A and 2 ms−2 to B as shown in the figure. For this situation, mark out the correct statement(s).

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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.

d

The value of F is 150 N.

answer is A.

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Detailed Solution

As the acceleration of A and B are different, it means there is relative motion between A and B. The free-body diagram of A and B can be drawn as below.For A, F−f=MaA=50×3For B, f=maB=20×2 ⇒ f=40N, F=190N

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