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A girl ridding a bicycle along a straight road with a speed of `5 ms^(-1)` throws a stone of mass 0.5 kg which has a speed of `15ms^(-1)` with respect to the ground along her direction of motion. The mass of the girl and bicycle is ` 5 kg` . Does the speed of the bicycle change after the stone is thrown ? What is the change in speed, if so ?A. `0.5 m//s`B. `0.1m//s`C. `0.3m//s`D. `0.8m//s` |
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Answer» Correct Answer - B Given total mass of girl bicycle and stone `m_(1) = (50 + 0.5) kg =50.5kg` Velocity of bicycle `u_(1) =5m//s`, Mass of girl and bicycle ` m = 50 kg` Yes the speed of the bicycle changes after the stone is thrown. Let after throwing the stone the speed of bicycle be m//s According to law of conservation of linear momentum, `m_(1) u_(1) =m_(2) u_(2) +mv` `50.5xx5 =0.5 xx 15 + 50 +v` `252.5 -7.5 = 50v` or `v = (245.0)/(50)` `v = 4.9m//s` . |
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