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Question

What is momentum? Write its S.I. unit. Interpret force in terms of momentum.
Represent the following graphically
(a) momentum versus velocity when mass is fixed.
(b) momentum versus mass when velocity is constant

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Solution

Momentum of a body is defined as the product of its mass and velocity.It is a vector quantity.
Mathematically,
Momentum (p) = mass (m) x velocity (v)
or, p = m v

S.I. unit of momentum is kg m/s

According to newton's second law,
Force acting on a body is equal to the rate of change of momentum.
or,
Force (F) = Change in momentum / time


As, momentum (p) = mass x velocity

(a) when mass is fixed,
momentum will vary linearly with velocity as shown in graph.

(b) when velocity is fixed
momentum will vary linearly with mass as shown in graph.



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