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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A satellite in force-free space sweeps up stationary interplanetary dust at a rate dM/dt = αv, where M is the mass, v is the velocity of the satellite, and α is a constant. What is the deceleration of the satellite? [MHT-CET 2008]

Answer: (B)

Solution

With no external force, total momentum (satellite + swept dust, which starts at rest) is

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Question ID VK-152903