Physics, asked by keert7hyson6archaec, 1 year ago

show that in the absence of any external force, the velocity of the centre of mass remains constant?

Answers

Answered by sawakkincsem
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 sharinkhan
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
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