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Questions  

Identify the correct statement. In the absence of external force,
a) the kinetic energy associated with the motion of centre of mass is conserved
b) centre of mass is not accelerated
c) the centre of mass always moves in curved line
d) centre of mass must be at rest

a
a & b are correct
b
all are true
c
all are false
d
a & c are correct

detailed solution

Correct option is A

If Fext = Msystem x acmIf Fext = 0, we conclude that acm = 0, so statement (a) is right.Now, K.E. of a system of particles = i.e Sum of K.E. of the particles relative to the centre of mass of the system.Since When Fext = 0, Velocity of centre of mass Vcm is not changing so (b) is right. Hence option - (1) is right.

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