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Question
Two bodies A and B of same mass are moving with velocities v and 2v, respectively. Compare their (i) inertia and (ii) momentum.
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Solution
(i) Mass is the measure of inertia.
Let 'm' be the mass of the two bodies.
Inertia of body A:Inertia of body B :: m:m
Or, Inertia of body A:Inertia of body B :: 1:1
(ii) Momentum of body A = m (v)
Momentum of body B = m (2v) = 2mv
Momentum of body A:Momentum of body B :: mv:2mv
Or, Momentum of body A:Momentum of body B :: 1:2.
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