STANDARD Physics Friction and Pulley Systems MCQ Question
A trolley of mass 20 kg is attached to a block of mass 4 kg by a massless string passing over a frictionless pulley as shown in the figure. If the coefficient of kinetic friction between trolley and the surface is 0.02, then the acceleration of the trolley and block system is (Take g = 10 m s⁻²)
1 m s⁻²
2 m s⁻²
1.5 m s⁻²
2.5 m s⁻²
Correct Answer
Detailed Explanation
As the string is inextensible, and the pulley is smooth, both the 4 kg block and the 20 kg trolley have the same acceleration a. By solving the equations of motion for the block and the trolley, considering the tension and frictional force, the acceleration is found to be 1.5 m s⁻².
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