1. A linebacker of mass 95kg is closing in on a running back of mass 85kg. After they collide, they are momentarily stuck together and both are moving at a speed of 4.5 m/s in the initial direction of the inebacker. If the running back was moving at 2.5 m/s towards the linebacker before contact, how fast was the linebacker moving just before the collision?
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- A student is driving a 1200 kg car at 42.0 m/s. He is tail-gating ("drafting") behind a 2500 kg truck that is going 40.0 m/s in the same direction as the car. (DON'T EVER DO THIS! IT IS EXTREMELY DANGEROUS AND ILLEGAL) The car collides with the truck and the two vehicles are stuck together. How fast are they moving after the collision?1. A billiard ball, labeled 1, moving horizontally strikes another billiard ball, labled 2, at rest. Before the impact ball 1 was moving at a speed of 5.0000 m/s and after the impact it is moving at a speed of 3.0000 m/s at an angle of 50 degrees from the original direction. The two balls have equal mass. Vii O Ball 1 only O Ball 2 only m₁ y m₂ 0₂ Vif m₁ m/s m₂ V2f (a) What should you consider a system for the collisional forces to be internal in order to apply the law of conservation of momentum ? X O Ball 1 and Ball 2 (b) Write conservation of momentum equations for the x and y directions separately and solve for the speed of ball 2 after the impact. Speed of ball 2 after impact =Two otters are sliding toward each other on a muddy frictionless horizontal surface. One of them, of mass 7.5 kg, is sliding to the left at 5.0 m/s, and the other, of mass 5.75 kg, is moving to the right at 6.00 m/s. They hold fast to each other after they collide. What is the magnitude of the velocity of these otters right after they collide? O 0.116m/s 0.236m/s O 0.441m/s O 0.226m/s
- Carry Collision Insurance! A 1,906 kg car stopped at a traffic light is struck from the rear by a 953-kg car. The two cars become entangled, moving along the same path as that of the originally moving car. If the smaller car were moving 26.7 m/s before the collision, what is the velocity of the entangled cars after the collision? (Assume the smaller car initially moves in the positive direction.) SOLUTION Conceptualize This kind of collision is easily visualized, and one can predict that after the collision both cars will be moving in the same direction as that of the initially moving car. Because the initially moving car has only half the mass of the stationary car, we expect the final velocity of the cars to be relatively Categorize We identify the two cars as an isolated system in terms of momentum in the horizontal direction and apply the impulse approximation during the short time interval of the collision. The phrase "become entangled" tells us to categorize the collision as…4. A 0.240 kg tennis ball is hit forward with a speed of 26.0 m/s. It is returned in the opposite direction at 37.5 m/s. What is the magnitude of the ball's change in momentum in this scenario?.
- A 55.0 kg boy runs at a speed of 16.0m/s and jumps onto a cart that is initially at rest. The boy and the cart then move off together at a speed of 2.50m/s. What is the mass of the cart?In the railroad freight yard, an empty freight car of mass m rolls along a straight level track at 1.20 m/s and collides with an initially stationary, fully loaded boxcar of mass 5.80m. The two cars couple together on collision. a.)What is the speed of the two cars after the collision? b.)Suppose instead that the two cars are at rest after the collision. With what speed was the loaded boxcar moving before the collision if the empty one was moving at 1.20 m/s?A 69.0-kg person throws a 0.0495-kg snowball forward with a ground speed of 32.0 m/s. A second person, with a mass of 59.5 kg, catches the snowball. Both people are on skates. The first person is initially moving forward with a speed of 3.85 m/s, and the second person is initially at rest. What are the velocities of the two people after the snowball is exchanged? Disregard the friction between the skates and the ice. (Take the direction the snowball is thrown to be the positive direction. Indicate the direction with the sign of your answer.) thrower m/s (Give your answer to at least three decimal places.) catcher m/s
- Godzilla is fighting Mothra in Tokyo (again). Godzilla climbs a tall building and, while standing on the top of the building, Mothra slams into him at a speed of 460 m/s. Godzilla grabs onto Mothra during the impact and they are thrown from the top of the building. If Godzilla has a mass of 9.6 * 103 kg and Mothra has a mass of 3.2 * 103 kg, how fast are the two monsters going as they pitch from the top of the building?8. A hockey puck of mass 0.37 kg is shot east at 2.10 m/s strikes a second puck, initially at rest, of mass 0.54 kg. As a result of the collision, the first puck is deflected at an angle of 35° north of east, with a speed of 1.45 m/s. What is the angle made between the direction of the second puck and the east direction after the collision? X 317.86 OIn a football game, 100.5 kg linebacker moving west at 0.67 m/s tackles an 85.0 kg running back moving east at 1.7 m/s. Using good tackling form, the linebacker wraps his arms around the running back and the two move together after the tackle. Immediately after the collision, what is the velocity of the two players? Give your answer in m/s, with positive velocities towards the east.