Two blocks A and B each of mass $\frac{1}{2}$ kg is connected by a massless inextensible string and kept on horizontal surface. Coefficient of friction between block and surface is 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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work done by tension on B is also zero in time interval t = 0 to t = 3s.

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

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

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

answer is A, B, C.

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Detailed Solution

By applying the condition of impending state of motion on A and on B we get

$k t = μ_{S} m_{A} g + T . . . . . . . . . . . . (1) T = μ_{S} m_{B} g . . . . . . . . . . . . . . . . . . . . . (2) B y s o l v i n g b o t h \Rightarrow 1 \times t = 0.4 \times \frac{1}{2} \times 10 + 1 \Rightarrow t = 3 s e c$

So neither A or B will move upto 3 sec

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