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(A) According to the principle of conservation of linear momentum,if no external horizontal force acts on the system (cart + sand),the horizontal velo

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Moving with the cart

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(A) According to the principle of conservation of linear momentum,if no external horizontal force acts on the system (cart + sand),the horizontal velocity of the sand remains unchanged as it falls vertically.Let the mass of the cart be $M$ and the mass of the sand be $m$. Initially,both are moving with velocity $v$.When the sand falls vertically,its horizontal component of velocity remains $v$ because there is no horizontal force acting on the sand during its fall.Therefore,the sand continues to move in the same direction with the same horizontal speed $v$ as the cart.Thus,the sand is moving with the cart.Hence,option $A$ is correct.

$A$ cart loaded with sand is moving with velocity $v$. Sand is falling through a hole as shown in the diagram. After falling on the ground,the sand is:

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