Center of Mass, Momentum & Collision

JEE Main level, single correct, medium

69 of 130

Question 69 of 130

A body AA of mass MM while falling vertically downwards under gravity breaks into two parts; a body B of mass 1/3M1 / 3 \mathrm{M} and a body C\mathrm{C} of mass 2/3M2 / 3 \mathrm{M}. The centre of mass of bodies B\mathrm{B} and C\mathrm{C} taken together shifts compared to that of body A\mathrm{A} towards

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Answer: (B) does not shift

No horizontal external force is acting
∴acm=0 since vcm=0∴Δxcm=0\begin{aligned} & \therefore \mathrm{a}_{\mathrm{cm}}=0 \\ & \text { since } \mathrm{v}_{\mathrm{cm}}=0 \\ & \therefore \Delta \mathrm{x}_{\mathrm{cm}}=0 \end{aligned}

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