Before After m M Nail (pivot) M (a) (b) Figure 1. A stick nailed to a table is hit by a disk. The disk sticks and the system rotate around a pivot (a nail holding the stick to the table).

A 1.0 kg sphere moves to the right at 3.0 m/s and collided head on with a 3kg sphere moving at 1.0 m/s in the opposite direction. If the collision is elastic, the velocity of the heavier sphere after the collision is equal to what? A. 1.0 m/s to the left B. 3.0 m/s to the left C. 1.0 m/s to the right D. 3.0 m/s t o the right E.0

4. A 2kg block and a 3kg block collide with the velocities shown. a) Find the momenta of the blocks before and after the collision, and fill in the table. Include the correct sign. b) Find the velocity of the 3kg block after the collision. 2kg 7m/s 8m/s 2kg 1m/s 3kg B 3kg V PAi P Bi PAf P Bf

7. For a given experiment, the students know how much the angular momentum of the system has changed after a specific time interval. The students create a series of graphs for each experiment. The students must determine if the change in angular momentum of a given system is equal to the angular impulse applied to the system. How should the students use data from a particular graph to make the determination by using only the graph? A Calculate the slope of an angular velocity versus time graph and see if it equals the angular acceleration. Calculate the slope of an angular position versus time graph and see if it equals the average angular velocity. Calculate the slope of a graph of the change in angular momentum versus the product of the net torque and C the time interval and determine if the slope is equal to one. Calculate the slope of an angular momentum versus time graph and see if it equals the net torque.

An empty freight car with a mass of 10,000 kg rolls at 5 m/s along a level track and collides with a loaded car with a mass of 20,000 kg, standing at rest with brakes released. Friction can be neglected. If the cars couple together, find their speed after the collision. a. Find the decrease in kinetic energy as a result of the collision. b. With what speed should the loaded car be rolling towards the empty car for both to be brought to rest by the collision? (full solution)

A spring with relaxed length 0.30 m and spring constant 1.8 N/m rests horizontally on a frictionless table and is anchored frmly to a wall on one side. You press a 400 g block into the other side until the spring length is 0.16 m and then let go.   a.) What will the momentum of the block be when it departs from the spring? (Assume contact ceases when the spring is relaxed.)   b.) If the table were no longer frictionless and the block-table interface had a kinetic coeffcient of friction of 0.1 what then would the momentum of the block be when it departs from the spring?

Consider a medicine ball with mass 2kg and initial velocity of 1.2 m/s. During 1.5s a force of 12N is applied to the ball during an exercise prescribed for an elderly patient recovering muscle strength after a surgery.   a. Determine the initial momentum of the ball b. Determine the impulse applied to the ball c. Determine the change of momentum of the ball after the force was applied d. What is the final velocity of the ball

As part of a carnival game, a mp 0.578 kg ball is thrown at a stack of 17.3 cm tall, 0.343 kg objects and hits with a = 11.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, m. perfectly horizontal velocity of vp.i the ball has a horizontal velocity of Ub.f = 3.85 m/s in the same direction, the topmost object has an angular velocity of @. = 2.43 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 12.1 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass? b,i I, = 0.228 kg-m2

A car is stopped for a traffic signal. when the light turns green, the car accelerates, increasing its speed from 0 to 4.90 m/s in 0.812 s. A. what is the magnitude of the linear impulse experienced by a 72.0 -kg passenger in the car during the time the car accelerates? B. what is the magnitude of the average total force experienced by a 72.0-kg passenger in the car during the time the car accelerates?

An empty freight car with a mass of 10,000 kg rolls at 5 m/s along a level track and collides with a loaded car with a mass of 20,000 kg, standing at rest with brakes released. Friction can be neglected. If the cars couple together, find their speed after the collision. a. Find the decrease in kinetic energy as a result of the collision. b. With what speed should the loaded car be rolling towards the empty car for both to be brought to rest by the collision? Solution FBD and Formula Required