QUESTION 1 {12 marks} Consider the diagram for question 1. A roller coaster car comes to the first hill (position X} at a speed of 3.15 mfs. The first hill of the roller coaster has a height of 37.1 m above the ground. The roller coaster car drops to position I, which has a height of 10.6 m above the ground. Assume that mechanical energy is perfectly conserved as the roller coaster car falls from X to Y. The roller coaster track around position E can be modelled using a circular shape. At position E, a 55.0 kg person experiences a normal force of 2150[up]. At position Y, the person experiences two vertical forces: normal force[up] and gravityEdown]. Calculate the radius of the circular track around position Y. QUESTION 2 {12 marks} A horizontal spring, of k - 14.3 me, is mounted at the edge of a lab bench to shoot marbles at targets on the floor 92.5 cm below. A marble of mass 8.41 grams is shot from the spring, which is initially compressed a distance of 4.1? cm. How far does the marble travel horizontally {in cm} before hitting the floor? Reminder: 1m - 100cm 1kg - lOOg QUESTION 3 {3 marks} Object 1 has an initial velocity of 6.0mfs[E] Object 2 has an initial velocity of 2.0mfs[E] Object 1 is travelling behind object 2 and they experience a rearend elastic collision. After the collision, object 1 immediately comes to rest. a} What is be the velocity of object 2 right after the collision? b} If object 2 is 4.5kg, what is the mass of object 1? QUESTION 4 {3 marks} A 312 kg satellite currently orbits the Earth in a circle with radius E.75xl\"?m. The satellite must be moved to a new circular orbit of radius 8.52x10\"?m. Calculate the additional total mechanical energy that the satellite requires. The mass of the Earth is 5.9Txlh24kg G is E.ETxlA11Nm\"2fkg\"2 Diagram for question 1: X Y