Practice portal › Laws of Motion › Impulse and Momentum Change
Asked in JEE Main 30th Jan 1st Shift 2024 · Bounces, catches and repeated impacts
Idea: the ball arrives going down and leaves going up, so the two velocities have opposite signs and their magnitudes add in the change of momentum.
Speed on arrival: v₁=√2gh₁=√2(9.8)(10)=14 m/s downwards.
Speed on leaving: v₂=√2gh₂=√2(9.8)(5)=9.9 m/s upwards.
J=m(v₂-(-v₁))=m(v₂+v₁).
=0.1×(9.9+14)=0.1×23.9=2.39 kg m s⁻¹.
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