Questions  

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
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detailed solution

Correct option is C

Velocity of center of mass will remain unaffected as no external forces acts on system.

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Shown in the figure is a system of three particles of mass 1 kg, 2 kg and 4 kg connected by two springs. The acceleration of A, B and C at any instant are 1 ms-2, 2 ms-2 and 1/2 ms-2 respectively directed as shown in the figure external force acting on the system is:

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