Without using law of conservation of linear momentum, prove newton's tird law ON NUMERICAL OR THEORETICAL BASIS(NOT EXPERIMENTAL BASIS i.e. based on real life examples).
Asked by DIVYANSHU VADEHRA
| 9th Dec, 2013,
10:21: AM
Expert Answer:
Consider two bodies of mass m1 and m2
Their total momentum is P = P1 + P2
Now, the net force from Newton's second law is given as
F = dP/dt = dP1/dt + dP2/dt
Now, at the time of contact (this is needed so that third law becomes applicable) no net force acts on the system.
Thus,
dP1/dt + dP2/dt = 0
f1 + f2 = 0
Thus, f1 = -f2
This is Newton's third law.
Answered by Romal Bhansali
| 10th Dec, 2013,
10:36: AM
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