A girl riding a bicycle along a straight road with a speed of 5 m s^-1  throws a stone of mass 0.5 kg which has a speed of 15 m ^s-1 with respect to the ground along her direction of motion. The mass of the girl and bicycle is 50 kg. Does the speed of the bicycle change after the stone is thrown? What is the change in speed, if so?

<p>This is a Short Answer type Questions as classified in NCERT Exemplar</p><p><strong><span lang="EN-IN">explanation</span></strong><span lang="EN-IN">-total mass of bicycle and stone =m₁=50+0.5= 50.5kg</span></p><p><span lang="EN-IN">Velocity of bicycle u₁= 5m/s mass of stone m₂= 0.5kg</span></p><p><span lang="EN-IN">Velocity of stone u₂= 15m/s mass of girl and bicycle m= 50kg</span></p><p><span lang="EN-IN">&nbsp;Also the speed of bicycle change when stone is thrown</span></p><p><span lang="EN-IN">According to conservation of linear momentum </span></p><p><span lang="EN-IN">m₁u₁=m₂u₂+mv</span></p><p><span lang="EN-IN">50.5 (5)= 0.5 (15)+50 (v)</span></p><p><span lang="EN-IN">V= 4.9m/s</span></p><p><span lang="EN-IN">Change in speed 5-4.9= 0.1m/s</span></p>

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