A cart initially moving an a frictionless track filled with sand has a hole at its bottom from where sand leaks out.
Student-A says : The velocity of cart remains constant although mass of sand in cart decrease
Student-B says : Since mass is decreasing, the velocity of cart must increase

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Student $- A$ is wrong Student $- B$ is correct

Both are correct

Student $- A$ is correct Student $- B$ is wrong.

Both are wrong

answer is A.

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Detailed Solution

$F_{t h r u s t} + F_{e x t} = m \frac{d v}{d t} F_{e x t} = 0 F_{t h r u s t} = u_{r e l} \times \frac{d m}{d t} a s u_{r e l} = 0 \Rightarrow F_{t h} = 0 \frac{m d v}{d t} = 0 \Rightarrow C o n s \tan t V e l o c i t y$

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