A puck of mass miis moving along a frictionless table at speed viin the +x- direction when it is hit simultaneously by 2lumps of clay, each of mass m2. Both lumps are traveling at a speed of v2when they hit the puck. One is traveling in the -x-direction, while the other one is dropped from above the table in the -y-direction. The puck and lumps of clay stick together. What is the speed of the puck and clay after the collision? Express your answer in terms of mim2v1and v2only. HINT: Write down the initial momentum of the puck m1. In which direction(s) is momentum conserved(i.e. in which direction(s) is there no net external force? Keep in mind that the table can provide an external normal force).Add the momenta of the lump(s) of clay for which momentum is conserved to your initial momentum. At the end of the day, the puck and both lumps of clay stick together so the final momentum is pf=(m1+m2+m2)vf. Set the initial and final momenta equal to each other and solve forvf.

The mass of a regulation tennis ball is 57.0 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 30 ms. (This number can also vary, depending on the racket and swing.) We assume a 59.0 g ball and a 26.0 ms contact time in this problem. In the 2011 Davis Cup competition, Ivo Karlovic made one of the fastest recorded serves in history, which was clocked at 156 mi//h (70 m/s). Part A: What impulse did Karlovic exert on the tennis ball in his record serve? Take the +x direction to be along the final direction of motion of the ball. Part B: What average force did Karlovic exert on the tennis ball in his record serve? Part C: If his opponent returned this serve with a speed of 55.0 m/s, what impulse did his opponent exert on the ball, assuming purely horizontal motion? Take the +x direction to be in the direction the ball is traveling before it is hit by the opponent. Part D: If his opponent returned this serve with a speed of 55.0…

Suppose M1 (1 kg) is moving at 3 m/s in the + x direction. M2 (2 kg) is moving at 3 m/s in the -x direction. If they collide and stick together, what will be their final velocity (in m/s)?

(a) A 13.0 g wad of sticky clay is hurled horizontally at a 110 g wooden block initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides 7.50 m before coming to rest. If the coefficient of friction between block and surface is 0.650, what was the speed of the clay (in m/s) immediately before impact? _____ m/s (b)What If? Could static friction prevent the block from moving after being struck by the wad of clay if the collision took place in a time interval Δt = 0.100 s? Explain your answer. Yes, a slightly larger coefficient of static friction could reasonably prevent the block from moving. No, the coefficient of static friction that would be required is unrealistically large.

Object A has a mass of 50kg and is moving along the +x axis with a speed of 10m/s. Object B has a mass of 65kg, and is moving at 8m/s in the positive y direction.  The two objects collide at the origin and stick together.  What is their final velocity?

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 400 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 * 103 kg and Mothra has a mass of 3.1 * 103 kg, how fast are the two monsters going as they pitch from the top of the building?

Olaf is standing on a sheet of ice that covers the football stadium parking lot in Buffalo, New York; there is negligible friction between his feet and the ice. A friend throws Olaf a ball of mass 0.400 kg that is traveling horizontally at 10.5 m/s. Olaf's mass is 72.8 kg. If Olaf catches the ball, with what speed vf do Olaf and the ball move afterward? If the ball hits Olaf and bounces off his chest horizontally at 8.40 m/sm/s in the opposite direction, what is his speed vf after the collision?

Riding in some bumper cars, you (174 kg for you and car) moving to the right at 15.6 m/s and collide with your younger cousin (145 kg for cousin and car) who is moving to the left at 20.6 m/s. After the collision, you are moving at 9 m/s to the LEFT. What is the velocity of your cousin immediately after the collision?(a) 1.88 m/s to the RIGHT(b) 50.1 m/s to the LEFT(c) 8.92 m/s to the RIGHT(d) 50.1 m/s to the RIGHT(e) 7.43 m/s to the RIGHT

A railroad car of mass 3.50 ✕ 104 kg moving at 3.05 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?  b) How much kinetic energy is lost in the collision?

A rocket-powered sled sits on a frozen lake bed. The sled has a mass of 210 kg, and the combusting rocket fuel has a mass of 8 kg. In a simplified analysis, we assume that as a result of combustion, the rocket fuel is fired backward at a speed of 160 m/s. What final speed does the sled achieve?