explain the law of conservation of linear momentum......
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explain the law of conservation of linear momentum
Conservation of linear momentum, general law of physics according to which the quantity called momentum that characterizes motion never changes in an isolated collection of objects; that is, the total momentum of a system remains constant.
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⠀⠀⠀⠀⠀⠀⠀Conservation of Momentum
➫ A system in which the momentum of a system is constant if there are no external forces acting on the system.
VERIFICATION
Let the Body A = m1 & B = m2
Let their velocity be u1 & u2
- (u1 > u2)
Momentum of Body
A = m1u1 & B = m2u2
Initial & Final momentum of System
- ➾ m1u1 + m2u2
Body A exert force of Action
- ➾ Fᴀʙ on Body B.
◉ Body B exert force of Reaction
- ➾ Fʙᴀ on Body A.
▸ Fᴀʙ = Body A
- ➾ m1 (v1 - u1) / t
▸ Fʙᴀ = Body B
- ➾ m2 (v2 - u2) / t
▸ Since, Action = - reaction
▸ So, Fᴀʙ = - Fʙᴀ
- m1 (v1 - u1) / t = - m2 (v2 - u2) / t
- ▸ m1v1 - m1u1 = m2v2 + m2u2
- ▸ m1v1 - m2v2 = m1u1 + m2u2
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