Derive 3rd law of motion through 2 nd law
Answers
Explanation:
Newton's Third law motion: The third law of motion states that when one object exerts a force on another object, the second object instantaneously exerts a force back on the first. These two forces are always equal in magnitude but opposite in direction.
Answer:
Obtain Newton's Third Law of Motion from The Second Law of Motion.
Pl, obtain Newton's Third Law of Motion from The Second Law of Motion.
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Amarnathreddy M
Derivation of Newton’s third law of motion from Newton’s second law of motion 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)...
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