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Q.

A block of mass  5 kg is (i) pushed in case A and ii pulled in case (B) , by a force of F =20 N , making an angle of 300 with the horizontal, as shown in the figures. The coefficient of friction between the block and floor μ = 0.2.The difference between the accelerations of the block, in case (B) and case (A) will be 

(g = 10 ms-2) 

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a

0.4 ms-2

b

0.8 ms-2

c

0 ms-2

d

3.2 ms-2

answer is B.

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Detailed Solution

Case A: Free body diagram when block is pushed 

NA=mg +20 sin 300 = 60 103- f = maA 103- 0.2 ×60 = 5×aA aA = 23-2.4 m/s2

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Case B: Free body diagram when the body is pulled.

NB=40, 103 - f = maB 103 - 0.2×40 = 5 ×aB aB = 23-1.6 ms-2        =0.8 ms-2 aB  - aA=0.8 ms-2

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