A body of mass 1000 kg is moving horizontally with a velocity $6 \mathrm{~m} / \mathrm{s}$. If 200 kg extra mass is added, the final velocity (in $\mathrm{m} / \mathrm{s}$) is:

JEE Main · 2024 · 27 Jan 2024 · Shift 1 · Conservation of Momentum

A body of mass 1000 kg is moving horizontally with a velocity

6 m / s

. If 200 kg extra mass is added, the final velocity (in

m / s

) is:

(A)6
(B)2
(C)3
(D)5✓ Correct

Answer: (D)

Solution

No external horizontal force acts, so horizontal momentum is conserved:

1000 \times 6 = (1000 + 200) v \Rightarrow v = \frac{6000}{1200} = 5 m/s

JEE Main · 2024 · 27 Jan 2024 · Shift 1 · Single correct option

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