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Question

A block A of mass 2kg rests on another block B of mass 8kg which rests on a horizontal floor. The coefficient of friction between A and B is 0.2 while that between B and floor is 0.5. If a horizontal force F of 25 N is applied on the block B, find the force of friction between A and B.
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A
0
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B
4N
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C
25N
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D
50N
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Solution

The correct option is A 0
First calculate the static friction force.
At bottom surface friction coefficient is 0.5
F1=μN1N1=(2+8)g=10×10=100N
Thus,
F1=μN1=0.5×100N=50N
Static friction force for motion of lower block we have to apply minimum 50N force there is no motion until we apply 50N force.
Thus there is no motion hence there is no friction force between block A and B
option A is correct

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