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A trolley of mass 20kg is attached to a block of mass 4kg 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 = 10ms−2)
  • a)
    1 m s−2
  • b)
    2 m s−2
  • c)
    1.5 m s−2
  • d)
    2.5 m s−2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A trolley of mass 20kg is attached to a block of mass 4kg by a massles...

As the string is inextensible, and the pulley is smooth, therefore both the 4kg block and the 20kg trolley have the same acceleration a.
Let T be tension in the string.
The equation of motion of the block is
40 − T = 4a  …(i)
The equation of motion of the trolley is
T − fk  = 20a
fk = μk N
Here, μk =0.02, N = 20 × 10 = 200N
∴ T − 0.02 × 200 = 20a or
T − 4 = 20a …(ii)
Adding (i) and (ii), we get, 
 a = 36 / 24 m s−2  = 1.5 m s−2
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A trolley of mass 20kg is attached to a block of mass 4kg 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 = 10ms−2)a)1 m s−2b)2 m s−2c)1.5 m s−2d)2.5 m s−2Correct answer is option 'C'. Can you explain this answer?
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A trolley of mass 20kg is attached to a block of mass 4kg 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 = 10ms−2)a)1 m s−2b)2 m s−2c)1.5 m s−2d)2.5 m s−2Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A trolley of mass 20kg is attached to a block of mass 4kg 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 = 10ms−2)a)1 m s−2b)2 m s−2c)1.5 m s−2d)2.5 m s−2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trolley of mass 20kg is attached to a block of mass 4kg 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 = 10ms−2)a)1 m s−2b)2 m s−2c)1.5 m s−2d)2.5 m s−2Correct answer is option 'C'. Can you explain this answer?.
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