Calculate the magnitude of the linear momentum for the following cases. (a) a proton with mass 1.67 x 10-27 kg, moving with a speed of 4.50 x 106 m/s kg • m/s (b) a 12.0-g bullet moving with a speed of 320 m/s kg • m/s (c) a 75.5-kg sprinter running with a speed of 12.0 m/s kg • m/s (d) the Earth (mass 5.98 x 1024 kg) moving with an orbital speed %3D equal to 2.98 x 104 m/s. kg • m/s

A railroad car of mass 3.3 x 104 kg moving at 5.00 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision? m/s (b) How much kinetic energy is lost in the collision? Need Help? Read It

2. A marksman holds a rifle of mass m = 3.00 kg loosely, so it can recoil freely. He fires a bullet of mass m = 5.00 g horizontally with a velocity relative to the ground of v=+ 300 m/s. What is the recoil velocity of the rifle? (Young and Freedman, 2012) BONUS: What is the total kinetic energy of the rifle and bullet after it was fired? Before Rifle + bullet After =? Vax=300 m/s m₂ = 3.00 kg mas 5.00g Image source: H. Young and R. Freedman. (2012). University Physics with Modern Physics, 13th Ed. Pearson Education, Inc. San Francisco, CA. -X

A ball with a mass of 275 g is dropped from rest, hits the floor and rebounds upward. If the ball hits the floor with a speed of 2.80 m/s and rebounds with a speed of 1.60 m/s, determine the following. (a) magnitude of the change in the ball's momentum in kg • m/s (Let up be in the positive direction.) kg • m/s (b) change in the magnitude of the ball's momentum in kg • m/s (Let negative values indicate a decrease in magnitude.) kg • m/s (c) Which of the two quantities calculated in parts (a) and (b) is more directly related to the net force acting on the ball during its collision with the floor? O the magnitude of the change in the ball's momentum O the change in the magnitude of the ball's momentum Neither are related to the net force acting on the ball. O They both are equally related to the net force acting on the ball.

A sprinter with a mass of 79 kg reaches a speed of 8 m/s during a race. Find the sprinter's linear momentum (in kg • m/s). (Enter the magnitude.) kg • m/s

*67. ssm Two joggers, Jim and Tom, are both running at a speed of 4.00 m/s (see the figure). Jim has a mass of 90.0 kg, and Tom has a N +4.00 m/s +4.00 m/s +4.00 m/s Tom Jim Tom Jim -4.00 m/s (a) (b) Problem 67 mass of 55.0 kg. Concepts: (i) Does the total kinetic energy of the two- jogger system have a smaller value in part a or b of the figure, or is it the same in both cases? (ii) Does their total momentum have a smaller magnitude in part a or b of the figure, or is it the same for each? Calcula- tions: Find the kinetic energy and momentum of the two-jogger system when (a) Jim and Tom are both running due north as in part a of the figure, and (b) Jim is running due north and Tom is running due south, as in part b of the figure.

A plasticine ball with a momentum of 4.0 kg•m/s [F] hits a wall and stops. What is the change in the ball's momentum? O 4.0 kg-m/s [B] 4.0 kg•m/s [F] 0.0 kg-m/s 8.0 kg-m/s [B] 8.0 kg-m/s [F]

) 1. A system consists of a 2-kg object moving to the left at 6.0 m/s, and a 3.0 kg object moving to the right at 4.0 m/s. Which of the following statements in true? The total kinetic energy of the system is nonzero, and the total momentum of the system is zero The total kinetic energy of the system is zero, and the total momentum of the system is nonzero. The total momentum and total kinetic energy of the system are both zero The total momentum and total kinetic energy of the system are both nonzero

Particle A has mass m and moves directly to the right with speed v > 0. Particle B has four times the mass of Particle A and moves directly to the right with half the speed of Particle A. Which of the following statements are true? (Pick two.) Particle A has greater momentum than Particle B. Particle B has greater momentum than Particle A. Both particles have the same momentum. O Particle A has greater kinetic energy than Particle B. O Particle B has greater kinetic energy than Particle A. Both particles have the same kinetic energy.

At  t=  0st=  0s  you launch a lump of sticky clay with mass  m1=  13kgm1=  13kg  and velocity  7m/s  i^7m/s  i^  directly toward a block of mass  m2=  31kgm2=  31kg  that is sliding directly toward the clay with a velocity of  −9m/s  i^−9m/s  i^ .  The clay sticks to the block completely.  How much kinetic energy was lost during the collision?