show that in the absence of any external force, the velocity of the centre of mass remains constant?
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Answered by
139
M for mass
And v for velocity
When there is not external force the acceleration of body is zero
The velocity of the body will be 'v'
Force = rate of change of momentum
=> F = d(mv)/dt
=> m (dv/dt) = F
The external force F = 0
M(dv/dt) = 0
Dv/dt = 0
M is not zero
So this proves that velocity will always be constant in such scenario.
Answered by
39
Say Force = 0
mass = 0
so acceleration will be 0 too
so, d/dt Vcm = 0
Vcm = constant
Thus in the absence of any external force the velocity of the centre of mass remains constant.
R cm(t) = R cm (0) + Vcm t
mass = 0
so acceleration will be 0 too
so, d/dt Vcm = 0
Vcm = constant
Thus in the absence of any external force the velocity of the centre of mass remains constant.
R cm(t) = R cm (0) + Vcm t
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