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⭐⭐ EXPLAIN NEWTON'S THIRD LAW OF MOTION WITH DERIVATION⭐⭐
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NEWTON'S THIRD LAW OF MOTION
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• Every action has equal and opposite Reaction (action-reaction pair )
• Action and reaction acts on different body
• Action and reaction pair are of same nature
• Force always exist in pair .
Derivation
__________
Let,
Fab = force act on a by b
Fba = force act on b by a
So,
Fab = ∆pab/t
Fba = ∆pba/t
there is no external force
So,
according to conservation of momentum
∆pab/t + ∆pba/t = 0
=> Fab + Fba = 0
=> Fab = -Fba
Hence proved
NEWTON'S THIRD LAW OF MOTION
_____________________________
• Every action has equal and opposite Reaction (action-reaction pair )
• Action and reaction acts on different body
• Action and reaction pair are of same nature
• Force always exist in pair .
Derivation
__________
Let,
Fab = force act on a by b
Fba = force act on b by a
So,
Fab = ∆pab/t
Fba = ∆pba/t
there is no external force
So,
according to conservation of momentum
∆pab/t + ∆pba/t = 0
=> Fab + Fba = 0
=> Fab = -Fba
Hence proved
Answered by
10
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Ur answer is here________
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Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction. The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. ... Forces always come in pairs - equal and opposite action-reaction force pairs.
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Derivation of Newton’s third law of motion from Newton’s second law of motionConsider an isolated system of two bodies A & B mutually interacting with each other, provided there is no external force acting on the system. Let FAB, be the force exerted on body B by body A and FBA be the force exerted by body B on A. Suppose that due to these forces FAB and FBA, dp1/dt and dp2/dt be the rate of the change of momentum of these bodies respectively. Then, FBA = d p 1 dt ---------- (i) => FAB = d p 2 dt ---------- (ii) Adding equations (i) and (ii), we get, FBA+ FAB = d p 1 dt + d p 2 dt ⇒ FBA + FAB= d( p 1 + p 2 ) dt If no external force acts on the system, then d( p 1 + p 2 ) dt = 0 ⇒ FBA + FAB = 0 ⇒ FBA = - FAB---------- (iii) the above equation (iii) represents the Newton's third law of motion (i.e., for every action there is equal and opposite reaction)...
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Hope its help uh
Ur answer is here________
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Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction. The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. ... Forces always come in pairs - equal and opposite action-reaction force pairs.
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Derivation of Newton’s third law of motion from Newton’s second law of motionConsider an isolated system of two bodies A & B mutually interacting with each other, provided there is no external force acting on the system. Let FAB, be the force exerted on body B by body A and FBA be the force exerted by body B on A. Suppose that due to these forces FAB and FBA, dp1/dt and dp2/dt be the rate of the change of momentum of these bodies respectively. Then, FBA = d p 1 dt ---------- (i) => FAB = d p 2 dt ---------- (ii) Adding equations (i) and (ii), we get, FBA+ FAB = d p 1 dt + d p 2 dt ⇒ FBA + FAB= d( p 1 + p 2 ) dt If no external force acts on the system, then d( p 1 + p 2 ) dt = 0 ⇒ FBA + FAB = 0 ⇒ FBA = - FAB---------- (iii) the above equation (iii) represents the Newton's third law of motion (i.e., for every action there is equal and opposite reaction)...
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Hope its help uh
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