.Complete the equation of conservation of momentum for two objects A and B moving with different velocities along straight line: ______+ mB uB = mA vA + ______________
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Answer:
maua + mbub = mava + mbvb
Explanation:
By 3rd law of motion
FAB = -FBA (1)
By 2nd law of motion
F = ma. (2)
By 1st equation of motion
a = v-u/t. (3)
Using (2) and (3) in (1)
FAB = ma(va-ua/t). (4)
Similarly
FBA = mb(vb-ub/t). (5)
Using (4) and (5) in (1)
ma(va-ua/t) = -(mb(vb-ub/t))
t will get cancelled
(mv)a - (mu)a = -(mv)b + (mu)b
maua + mbub = mava + mbvb
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