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 ...continues

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 ...continues

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?

Calculating tangential speeds of the Earth using angular variables.

The earth has a radius of 6.38 * 10^6 m and turns on its axis once every 23.9h. A) What is the tangential speed (in m/s) of a person living in Ecuador, a country that lies on the equator? B) At what latitude is the tangential speed one-third that of a person living in Ecuador?

Calculating the length of tape using angular velocity.

The take up reel of a cassette tape has a radius of 2.5 cm. Find the length of tape that passes around the reel in 7.1 s when the reel rotates at an average angular speed of 1.9 rad/s.

Rigid Objects in Equilibrium: Finding the normal force on a the wheel of a car

The mass of an automobile is 1,160 kg, and the distance between its front and rear axles is 2.54 m. The center of gravity of the car is between the front and rear tires, and the horizontal distance between the center of gravity and the front axle is 1.02 m. Find the normal force that the ground applies to: (a) each of the tw ...continues

Rotational Motion

The blades of a ceiling fan have a total moment of inertia of 0.16kg*m^2 and an angular acceleration of 7.0 rad/s^2. What net torque is being applied to the blades?

Finding the ratio between two velocities down a ramp.

A marble and a cube are placed at the top of a ramp. Starting from rest at the same height, the marble rolls and the cube slides (no kinetic friction) down the ramp. Find the ratio of the center-of-mass speed of the cube to the center-of-mass speed of the marble at the bottom of the ramp.