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Force can be defined as the derivative of momentum with respect to time or: dp/dt = d(mv)/dt

Since the mass stays the same, we can take that out:

m * dv/dt (It's worth noting that this is the derivation of the F=ma equation)

Now to answer your question, this depends on the amount of time the object is being pushed by the wall. If the time is equal, then the wall will apply a greater force on the ball if it bounces back because it has to change the ball's momentum by a greater amount to get it to move back towards the thrower.

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Q: General phyics question Does a wall exert a greater force on an object if it bounces or sticks?
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