Understanding the Conservation of Momentum in a Hard Mud Ball Collision

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SUMMARY

The discussion centers on the conservation of momentum during an inelastic collision involving a hard sticky mud ball and a wall. It is established that while kinetic energy is not conserved, momentum is conserved when considering the entire system, including the Earth. The initial momentum of the mud ball, combined with the wall's initial momentum (zero), equals the final momentum of the mud and wall system, which remains consistent due to the Earth's massive size. The final velocity of the mud ball is effectively the same as that of the wall and Earth, albeit negligible.

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if a hard sticky mud ball is trown on a wall it sticks to it
it is an inelastic collision
K.E. is not conserved
but here momentum is also not conserved because mud had an initial velocity
so initial momentum of mud + initial momentum of wall (that is 0) = initial momentum of mud
final momentum of mud (that is 0 or less than its initial momentum)+final momentum of wall= 0 or less than total initial momentum
please explain hiw momentum is conserved here??
 
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The wall/mud combination does have a small final velocity. If the wall is attached to a planet, this velocity is tiny, since the mass is huge.
 
Momentum is conserved - but if the wall is attached to the ground, you have to consider the momentum of the whole earth, which changes at the impact. The mass of Earth is huge, so you won't be able to measure it.

Edit: Too slow :(
 
will the stiky mud also have a final velocity??
 
The same as the wall and earth, probably.
 

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