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A man of mass 80 kg is riding on a small cart of mass 40 kg which is rolling along a level floor at a speed of 2 m/s. He is running on the cart so that his velocity relative to the cart is 3 m/s in the direction opposite to the motion of cart. What is the speed of the centre of mass of the system

a
1.5 m/s
b
1 m/s
c
3 m/s
d
zero

detailed solution

Correct option is D

velocity of the man with respect to cart  vmc=vm-vc -3=vm-2 vm=-1m/s vcom =-1 x80 +40 x2120=0

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