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Q.

A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string passing over frictionless pulley as shown below.
The coefficient of kinetic friction between the surface and block is 0.02. The acceleration of block is. (Given g=10ms−2.)

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a

4/5 ms-2

b

1/5 ms-2

c

1 ms-2

d

8/11 ms-2

answer is D.

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Detailed Solution

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For 4 kg block 
4g – T = 4a  
For 40 kg block 
T – 40g × 0.02 = 40 a 
Adding both eq.
40 – 8 = 44a 

a=3244=811m/s2 

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