Pl, obtain Newton's Third Law of Motion from The Second Law of Motion.
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Consider 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)...
hope this answer helps!!!
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)...
hope this answer helps!!!
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above answer is correct
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☞Rockets can propel themselves through the nothingness of space because of two fundamental laws of physics: Newton’s Third Law and the Conservation of Linear Momentum.
☞Both ideas are essential to understanding how nearly everything in the universe moves.
☞When an ice skater takes off from a dead stop, she digs her blade into the ice and the ice pushes back with an equal and opposite force, sending her gliding across the rink.
☞When a cannon is fired, the cannonball goes hurtling through the air while the cannon recoils backward in response.
☞Both of these principles stem from the same general idea: that the universe likes to keep everything in balance.
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