Q.

Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0.05. (g = 10 m/s2, mass of the string is negligible and no other friction exists).

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a

1.00 m/s2

b

1.25 m/s2

c

1.50 m/s2

d

1.66 m/s2

answer is B.

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Detailed Solution

F. B. D. of trolly T−f=mTaf=μmTgf=0.05×10×10f=5NT-5=10a      .....(i)F.B.D of blockmbg−T=mba2×10−T=2a20-T=2a   ......(ii)Equation (i)+ (ii)15=12aa=1512⇒a=1.25m/s2
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