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Question

Blocks A and B of masses 2 kg and 3 kg respectively are placed on a smooth ground. If an external force P of magnitude 10 N acts on A as shown, find the force exerted by B on A is

A
6 N
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B
3 N
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C
9 N
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D
1 N
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Solution

The correct option is A 6 N
Block A and B as a system, FBD of block A+B is

(Here normal force between A and B is internal so we cannot show it in FBD) there is no vertical motion so the net force on system in vertical direction is zero. In horizontal direction there is an external force 10 N so the system will accelerate with acceleration a. a=105=2 ms2
FBD of block A is,
(Here block A and block B are the separate systems so the normal force N is external, normal force N must be shown in each FBD)
10N=ma=2×2 N=6 N
FBD of block B is,

N=ma=3×2=6 N

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