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Newtonian mechanics discusses the movement of classical bodies under the influence of forces by applying Newton’s three laws. For more general concepts, use [classical-mechanics]. For Newton’s description of gravity, use [newtonian-gravity].
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Accepted
"Inverse" $N$-body problem
If the system is isolated, then the center of mass of this system moves at a constant (usually zero) velocity $\mathbf{v}_c$:
$$
\sum_{i=1}^{N+1}m_i\mathbf{r}_i(t)=M \mathbf{r}_c(t)=M(\mathbf{r}_0+\ma …
18
votes
Why does a ping pong ball bounce higher when it is dropped together with a cup of water?
As mentioned in the comments above, the ball in the cup is similar to Galilean Cannon. The maximum height to which the ball can bounce $h_{max}$ can be estimated using the law of energy conservation:
…