n the railroad freight yard, an empty freight car of mass m rolls along a straight level track at 1.10 m/s and collides with an initially stationary, fully loaded boxcar of mass 5.70m. The two cars couple together on collision

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.

A block of mass 1.57 kg is placed on a frictionless floor and initially pushed northward, where upon it begins sliding with a constant speed of 5.16 m/s. It eventually collides with a second, stationary block, of mass 3.01 kg, head-on, and rebounds back to the south. The collision is 100% elastic. What will be the speeds of the 1.57-kg and 3.01-kg blocks, respectively, after this collision?     1.62 m/s and 3.54 m/s     3.54 m/s and 1.62 m/s     2.06 m/s and 2.58 m/s     0.65 m/s and 2.10 m/s

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? ___m/s (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? ___m/s