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Q.

Two block A and B each of mass 12 kg is connected by a massless inextensible string and kept on horizontal surface. Coefficient of friction between block and surface shown in figure. A force F = kt (where k = 1 N/s and t is time in second) applied on A. Then (g = 10 m/s2)

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a

work done by friction force on block B is zero in time interval t = 0 to t = 3s.

b

work done by friction force on block A is zero in time interval t = 0 to t = 3s.

c

work done by tension on B is also zero in time interval t = 0 to t = 3s

d

speed of blocks at t = 10s is 27.5 m/s.

answer is A.

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Detailed Solution

When t = 3s block just about to move and acceleration of block given by a =t−21 t>3∫0v dv=∫310 (t−2)dtv=t22−2t310=(50−20)−92−6=30+1.5=31.5m/s
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