Prove the law of conservation of momentum
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From Newton's second law
Faction = -Freaction
m1(v1-u1)/t = -m2(v2-u2)/t
m1v1-m1u1 = m2v2-m2u2
m1v1 + m2v2 = m1u1 + m2u2
Therefore.
Final linear momentum = Initial linear momentum
Faction = -Freaction
m1(v1-u1)/t = -m2(v2-u2)/t
m1v1-m1u1 = m2v2-m2u2
m1v1 + m2v2 = m1u1 + m2u2
Therefore.
Final linear momentum = Initial linear momentum
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Conservation 0f Momentum➫ A system in which the momentum of a system is constant if there are no external forces acting on the system.
Prove: Conservation 0f Momentum:-▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃⤵
➧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...✔
_________
Thanks...✊
✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✮✭
┗─━─━─━─━∞◆∞━─━─━─━─┛
Conservation 0f Momentum➫ A system in which the momentum of a system is constant if there are no external forces acting on the system.
Prove: Conservation 0f Momentum:-▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃⤵
➧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...✔
_________
Thanks...✊
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