Classical Mechanics
# 2D Dynamics

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 \(-9.8~\mbox{m/s}^2\).

A block slides down a frictionless, inclined plane that makes a \(30^\circ\) angle with the floor. If the block is initially at rest, and the length of the inclined plane is \(d=15\text{ m},\) how many seconds does it take for the block to reach the end of the plane?

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

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