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There will not be any
change in the speed of the centre of mass of the given system.
The child is running arbitrarily on a trolley that is moving
forward with velocity . However, the running of the child will have no effect
on the velocity of the centre of mass of the trolley. This happens because the
force due to the motion of the child is purely internal. Internal forces in a
body produce no effect on the motion of the bodies on which they are acting.
Because there is no external force involved in the (child + trolley) system,
the child’s motion will not produce any change in the speed of the centre of
mass of the trolley.
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