A man of mass m, = 60.5 kg is skating at v, = 8.05 m/s behind his wife of mass m, = 51.5 kg, who is skating at v, = 4.20 m/s. Instead of passing her, he inadvertently collides with her. He grabs her around the waist, and they maintain their balance. (a) Sketch the problem with before-and-after diagrams, representing the skaters as blocks. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Is the collision best described as elastic, inelastic, or perfectly inelastic? O elastic O inelastic O perfectly inelastic Why? This answer has not been graded yet. c) Write the general equation for conservation of momentum in terms of my, V1, m2, V2, and final velocity vy (Submit a file with a maximum size of 1 MB.) Choose File | No file chosen This answer has not been graded yet. (d) Solve the momentum equation for vp (Use the following as necessary: my, V1, my, V2. Do not substitute numerical values; use variables only.) (e) Substituting values, obtain the numerical value for vo their speed after the collision. m/sA railroad car of mass 3.40 x 10" kg moving at 2.90 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?The figure below shows a man in a boat on a lake. The man's mass is 79 kg, and the boat's is 123 kg. The man and boat are initially at rest when the man throws a package of mass m = 15 kg horizontally to the right with a speed of v; = 4.1 m/s. What is the velocity of the boat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.) Vi magnitude m/s direction ---Select--- v Need Help? Read ItA 1,175-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 8,900-kg truck moving in the same direction at 20.0 m/s (see figure below). The velocity of the car right after the collision is 18.0 m/s to the east. +25.0 m/s +20.0 m/s + 18.0 m/s Before After (a) What is the velocity of the truck right after the collision? (Round your answer to at least three decimal places.) m/s (east) b) How much mechanical energy is lost in the collision? Account for this loss in energy. This answer has not been graded yet.A 2,000-kg car moving east at 10.0 m/s collides with a 3,000-kg car moving north. The cars stick together and move as a unit after the collision, at an angle of 45.0 north of east and at a speed of 5.66 m/s. Find the speed of the 3,000-kg car before the collision. m/s north Need Help? Read ItTwo shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at voj = 7.80 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of 0 = 36.0 with the horizontal axis while the green disk makes an angle of p = 54.0 with this axis as in Figure b. Determine the speed of each disk after the collision. of m/s of m/s After the collision of Before the collision