Q.

A child is sitting at one end of a long trolley moving with a uniform speed v on a smooth horizontal track. If the child starts running towards the other end of the trolley with a speed u (w.r.t trolley), the speed of the center of mass of the system will

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a

u+v

b

v-u

c

v

d

none of these

answer is C.

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Detailed Solution

Velocity of center of mass will remain unaffected as no external forces acts on system.
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A child is sitting at one end of a long trolley moving with a uniform speed v on a smooth horizontal track. If the child starts running towards the other end of the trolley with a speed u (w.r.t trolley), the speed of the center of mass of the system will