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Q.

A wagon of 200 kg is moving on a smooth track with velocity of 2 m/sec. A man of 80 kg also runs in the wagon with a velocity such that speed of the centre of mass of the system is zero. Find the velocity of man relative to the wagon (in m/s).

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a

5

b

6

c

7

d

8

answer is C.

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Detailed Solution

Velocity of centre of massvcom = mwagon×vwagon+mman×vman(mwagon×mman)vcom = (200)(2)+(80)(V)280 = 0 ⇒V = -5 m/svman → = v→ man, wagon + vwagon→v→man, wagon = v →man-v→wagon = -5-2 = -7 m/s

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A wagon of 200 kg is moving on a smooth track with velocity of 2 m/sec. A man of 80 kg also runs in the wagon with a velocity such that speed of the centre of mass of the system is zero. Find the velocity of man relative to the wagon (in m/s).