Calculating the average net force given velocity, time and mass in regards to the momentum theorem.

A 62 kg person, standing on a diving board, dives straight down into the water. Just before striking the water, her speed is 5.50 m/s. At a time of 1.65 s after entering the water, her speed is reduced to 1.10 m/s. What is the average net force (magnitude and direction) that acts on her when she is in the water?

Working with linear momentum.

A girl is standing at the edge of an offshore oil rig. As she fires a gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.010 kg and its velocity is +720 m/s. Her mass (including the gun) is 51 kg. A) What recoil velocity does she require in response to a single shot from a stationary position, assuming that no external force keeps her in place? B) Under the same assumption, what would be her recoil velocity if instead, she shoots a blank cartridge that ejects a mass of 5.0 * 10^-4kg at a velocity of +720 m/s?

Working with conservation of momentum in a collision situation.

In a football game, a receiver is standing still, having just caught a pass. Before he can move, a tackler, running at a velocity of +4.5 m/s, grabs him. The tackler holds onto the receiver, and the two move off together with a velocity of +2.6 m/s. The mass of the tackler is 115 kg. Assuming that momentum is conserved, find the mass of the receiver.

Calculating the center of mass of a molecule relative to another atom.

The carbon monoxide molecule (CO) consists of a carbon atom and an oxygen atom separated by a distance of 1.13 * 10^-10 m. The mass of mc = 0.750 mo. Determine the location of the center of mass of this molecule relative to the carbon atom.

Working with angular velocity to obtain time.

An automatic dryer spins wet clothes at an angular speed of 5.2 rad/s. Starting from rest, the dryer reaches its operating speed with an average angular acceleration of 4.0 rad/s^2. How long does it take the dryer to come up to speed?