Neglecting friction,if a person sitting at the back of a motorcycle moving on a straight path falls off while the motorcycle is in motion,will the velocity of the motorcycle increase or decrease? Why?
(A) The velocity of the motorcycle will increase. According to the law of conservation of linear momentum,$p = mv$ remains constant (assuming no external horizontal force). When the person falls off,the total mass $m$ of the system (motorcycle + riders) decreases. Since $p$ is constant and $m$ decreases,the velocity $v$ must increase to maintain the same momentum.
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