Pls answer all questions and show step by step workings . I've separated them according to numbers such as A.... All the questions a complete and have the relevant info to be completed.

A5 1. A 0.50 kg object (A) is moving at 5.0 m/s[E] when it collides, head-on, with a stationary 1.0 kg object (B). If the 0.50 kg rebounds directly backward at 1.2 m/s, was the collision elastic? (Hint: you will first need the find the velocity of the 1.0 kg object after the collision.) 2. Car A, with a mass of 1800 kg, was travelling north at 46 km/h and car B, with a mass of 2500 kg, was travelling east at 38 km/h when they collided at an intersection. The cars stuck together after the collision. a. Would the cars be located more to the north or east? b. Was the collision elastic or inelastic? 3. Roller coasters are called \"gravity rides" for a very good reason: once the coaster has been dragged to the top of the rst hill, it is the force of gravity that keeps the coaster going all the way back to the station platform at the end of the ride. As the coaster goes through twists, turns, rolls, and loops, it gains and loses speed and its initial potential energy (supplied by dragging it up the first hill) changes from potential into kinetic energy and back into potential energy. A Does the law of conservation of energy make valid predictions when energy is converted from gravitational potential energy into kinetic energy? A new amusement park ride is shown below. The mass of the small car, including its contents, is 400 kg, and the radius of the loop is 10 m. Assume that the track is frictionless and that no mechanism holds the car in contact with the track. A5 (a) In order that the car stay on the track at B, what minimum velocity "v" must it have at the point? Hint: The car is travelling around a loop (circular motion). Note: Don't forget to include a FBD as part of your solution! (b) From what minimum height \"h" must the car start from rest in order to do this? {25 m} Hint: The car must possess the same amount of energy at A as it does at B. Note: Make sure to include a list of all known values! (C) Is the mass of the car a factor in determining \"h" in (b) above? Explain. (d) In order to calculate the minimum height \"h" in (b) above what \"force" was ignored? In your experiment do you think it will pose a problem? How do you think it will affect your results? Why? A6 1. 2. The two objects shown collide head-on and stick together in a perfectly inelastic collision. What is their combined velocity after the collision? ii,f 6.0 mfs viz - 15 m/s m. - 2.5 kg m2 - 7.5 kg A CSI expert needed to nd the velocity of a bullet fired from a gun. He fired a 5.50 g bullet into a ballistic pendulum with a bob that had a mass of 1.75 kg. The pendulum swung to a height of 12.5 cm as shown. What was the velocity of the bulletjust before it hit and became embedded in the pendulum bob? (Hint: start with conservation of energy and then use conservation of momentum.) NEE Bull ct MUIIIL'IIllLlIl Mechanical has initial is colisnrvod. energy is velocity. Kinetic energy conscrvcd. is not conserved. A block of wood with a mass of 0.50 kg slides across the floor toward a 3.50 kg block of wood. Just before the collision, the small block is travelling at 3.15 m/s. Because some nails are sticking out of the blocks, the blocks stick together when they collide. Scratch marks on the floor show they slid 2.63 cm before coming to a stop. What was the magnitude of the friction force? _. m Momentum] Friction ' s is conserved. 53 = 3-53 cm Collision is completely inelastic. g 04. 10. During a friendly snowball ght, two snowballs, each of mass 0.15 kg, collide in mid- air in a completely inelastic collision. Just before the collision, both balls are travelling horizontally. one ball with a velocity of 22 m/s [N] and the other22 m/s [S]. What is the velocity of each ball after the collision? 12. A truck of mass 1.3 x 10" kg, travelling at 9.0 X 10' km/h [N], collides with a car of mass 1.1 x 103 kg. travelling at 3.0 x 10' km/h [N]. Ifthe collision is completely inelastic. what are the magnitude and direction of the velocity of the vehicles immedi- ately after the collision? 13. Calculate the total kinetic energy before and after the collision described in question 12. Determine the decrease in kinetic energy during the collision. A7 1. Suppose you have two objects. Object A, with a mass of 0.26 kg travelling at 1.3 mfs[E], collides head-on with a stationary object B, with a mass of 0.15 kg. If the collision is perfectly elastic, determine the final velocities of both objects after the collision. Express your answers to 2 decimal places. (Hint: assume [E] is positive.) 2. Suppose object B in the previous problem was not stationary but was initially travelling at 1.0 mls[W]. What would the final velocities of both objects be after the perfectly elastic collision? Express your answers to 2 decimal places. (Hint: assume [E] is positive.) 3. Without doing any calculations, draw some general conclusions about perfectly elastic collisions if: a. m1 = m2 b. m1 >>> m2 c. m1