Collision ( 4 points ) Learning Objectives: Apply concept of energy conservation and momentum conservation for different processes. A bullet of m = 8.50 g is shot into a block of mass M = 0.992 kg which is connected to a spring and moves on a horizontal plane. The impact compresses the spring 15.0 cm. Calibration of the spring shows that a force of 0.750 N is required to compress it by 0.250 cm. (a) Find the magnitude of the block's velocity just after impact. (b) What was the initial speed of the bullet? K- 15.0 cm-Explosion ( 4 points ) Learning Objectives: Apply concept of energy conservation and momentum conservation. A firework rocket is fired vertically upwards. It explodes just when it reaches its maximum height of 60.0 m and breaks into two pieces with masses m1 = 1.20 kg and m2 = 0.320 kg, In the explosion 900 J of chemical energy is converted into kinetic energy of the two fragments. (a) What is the speed of the two fragments just after the explosion? (b) You observe that the two pieces hit the ground at the same time. What is the distance between the points where they hit the ground? (assume a horizontal ground and neglect air resistance)2D Collisions ( 4 points ) Learning Objectives: Apply concept of energy conservation and momentum conservation for collisions in two dimensions. A sphere with radius r = 10 mm moves with velocity vo = 10 cm/s towards an identical sphere and hits it elastically. The straight line on which the center of the first sphere approaches the second one has a distance d = 12 mm from the center of the second sphere. a) Draw a scheme of the collision when the spheres have contact and show the different momentum vectors. Be sure to define or indicate the different variables in your scheme. b) Under which angle with respect to vo does the second sphere move away after the collision? c) Calculate the angle under which the first sphere moves after the collision. d) Calculate the speed of both spheres after the collision.Collision in 2D ( 4 points ) Learning Objectives: Apply concepts of energy conservation and momentum conservation in 2D. A car with mass 950 kg travels east at an intersection and collides with another car with m = 1900 kg that is traveling north. As a result the two vehicles stick together and the wreckage is sliding at 15.0 m/s in the direction 24.0 east of north. Calculate the speed of each vehicle before the collision. Assume the collision happened during an ice storm where the frictional forces between vehicles and road can be ignored