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# 2D Dynamics

With 2D dynamics, we can explain the orbit of the planets around the Sun, the grandfather clock, and the perfect angle to throw a snowball to nail your nemesis as they run away from you.

A block slides down an inclined plane that makes a \(45^\circ\) angle with the floor. If the coefficient of kinetic friction is \(\mu=\frac{1}{19},\) what is the acceleration of the block?

The gravitational acceleration is \(g=10\text{ m/s}^2.\)

A coin slides down a ramp angled at \(30^\circ\) with respect to the horizontal. If the coin starts from rest, what is its speed **in m/s** after sliding \(1~\mbox{m}\)?

**Details and assumptions**

- The ramp is frictionless.
- The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).

The gravitational acceleration is \(g=10\text{ m/s}^2.\)

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