Show that rate of change of momentum of an object is the product of mass and acceleration.On which two factors momentum of an object depends.
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When a force is applied on a moving body, its velocity changes. Due to change in velocity of the body is Momentum also changes
Let a force F is applied on a body of mass m and time t due to which velocity changes from u to v.
Then,
- Initial momentum of the body= mu
- Final momentum of the body=mv
- Changing in momentum of the body in t seconds= mv-mu =m(v-u)
- rate of change of momentum= change in momentum/ time
= m(v-u)/t
- but acceleration a = change in velocity/ time
= v-u/ t
- rate of change of momentum = m×a
mass × acceleration
This relation holds true when mass of the body remains constant.
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