JEE Physics · Hard

Laws of Motion and Friction: Advanced — FBD with Tension MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Advanced — FBD with TensionHardQuestion 30283

Question

A 3 kg and 5 kg block hang from a string over a smooth pulley. A second string is attached to the 5 kg block, pulling it downward with force 10 N. The acceleration of the system is: (g = 10)
  1. A
    7.5 m/s²
    Correct
  2. B
    3.75 m/s²
  3. C
    5 m/s²
  4. D
    10 m/s²

Correct answer

7.5 m/s²

Explanation

Net downward force on 5 kg side = 5×10+10 = 60 N. Net downward force on 3 kg side = 3×10 = 30 N. Net force = 60−30 = 30 N. Total mass = 8 kg. a = 30/8 = 3.75 m/s².