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# Explain how linear momentum is conserved when a ball bounces from a floor?

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

Linear momentum is a measure of an object's translational motion.  The linear momentum p of an object is defined as the product of the object's mass m times its velocity v.

p = mv.

Linear momentum is a vector.  Its direction is the direction of the velocity.  The Cartesian components of p are

px = mvx,  py = mvy,  pz = mvz.

If an object's velocity is changing, its linear momentum is changing.  We have

dp/dt = d(mv)/dt.

If the mass of the object is constant then

dp/dt = mdv/dt = ma.

We write

dp/dt = F.

All the best.

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Sagar Singh

B.Tech, IIT Delhi

sagarsingh24.iitd@gmail.com

509 Points
10 years ago

dear syed

in every collision elastic or in elastic linear momentam is conserved....when the ball strikes the floor then at the time of collision we can apply conservation of linear momentam....