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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A frog sits on the end of a long board of length m. The board rests on a frictionless horizontal table. The frog wants to jump to the opposite end of the board. What is the minimum take-off speed (in m/s), i.e., relative to ground , that allows the frog to do the trick? The board and the frog have equal masses.

Answer: 5

Solution

Let the frog leave with horizontal component and vertical component (ground frame). By momentum conservation (equal masses ), the board recoils at . Time of flight . The frog's displacement relative to the board

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Question ID VK-158834