AP Physics 1 - Conservation of Energy

Rollercoaster

The height at the top of the hill is

If the velocity of the train at the top of the loop is $28\frac{m}{s }$ , how high is the highest point of the loop?

Terry believes he can throw a ball vertically and hit a target above himself. If the ball weighs , how fast must it be traveling when it leaves his hand to just reach the target? Neglect air resistance.

$g=9.81\frac{m}{s^2}$

A ball starts rolling up a incline at speed of $17\frac{m}{s}$ . Using conservation of energy, find out how much work gravity does on the ball when it travels from the bottom to the maximum height.

38_deg._incline

At a large shipyard in the Atlantic ocean, cranes lift large cargo boxes off of incoming ships. Some of these cargo boxes have a staggering mass near that of . These cranes will then lift these boxes to a height of off the ground. If the cable attached to the cargo boxes were to break when the box was at half it's expected height, at what final velocity will the cargo box be traveling right before it contacts the ground below?

Consider the following system:

Spinning rod with masses at end

Two spherical masses, A and B, are attached to the end of a rigid rod with length l. The rod is attached to a fixed point, p, which is at the midpoint between the masses and is at a height, h, above the ground. The rod spins around the fixed point in a vertical circle that is traced in grey. $\angle c$ is the angle at which the rod makes with the horizontal at any given time ( $c=0^{\circ}$ in the figure).

The rod is spinning and mass A has an instantaneous velocity of $5\frac{m}{s}$ as it passes through the horizontal. What is the velocity of mass A as it passes through its highest point?

$g = 10\frac{m}{s^2}$

Neglect air resistance and internal friction forces.

A man throws a pizza in the air. If he released it at a height of , determine the velocity when he released it.

A block is released from rest on a frictionless ramp inclined at an angle of $40^{\circ}$ with respect to the horizontal. Using conservation of energy methods, calculate the final velocity of the block if it slides a distance of down the incline.