derive the equation of conservation of momemtum.
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Answer:
law of conservation of momentum-in an isolated system the total momentum remain conserved
Explanation:
supposesuppose two balls a and b are moving in same direction along a straight line with different velocities
ball a
mass of a = MA
initial velocity=UA
ball b
mass of b=MB
initial velocity=UB
if UA is greater than UB two balls collide with each other
during collision in time t ball a exert force FAB on b and ball b exerts FBA on ball a and velocity of both changes
according to second law of motion
FAB=MA VA-MA UA/T
FBA=MB VB-MB UB/T
ACCORDING TO THIRD LAW OF MOTION
FAB=-FBA
MA VA -MA UA=-MB VB +MB UB
MA VA+MB VB = MA UA+ MB UB
INITIAL MOMENTUM IS EQUAL TO FINAL MOMENTUM (HENCE PROVED)
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