QUESTION 1 {16 marks} Consider the diagram for question 1. A box of 9.14 kg starts from rest along the side of a ramp with incline 23.5 degrees. The box slides 6.39 m downhill to the bottom of the ramp and has a final speed of 4.31 mfs. a) (4 marks} Calculate amount of work done on the box by gravity during this motion. b} (4 marks} Calculate the gravitational potential energy of the box at the start of the motion. Consider the bottom of the ramp as the reference height where Eg - U. c} (8 marks} Calculate the coefficient of friction between the box and the ramp. QUESTION 2 {16 marks} Consider the diagram for question 2. A person of mass 65.8 kg is on a roller coaster at the top of the first hill with speed 4.26 mfs. The top of the first hill is at a height of 21.4 m above the ground. Position B is situated atop a hill that we can approximate using a circle of radius 15.3 m. At 3, the person experiences a net force precisely equal to the force of gravity, Fg - mg[down]. Througout the ride,r assume perfect conservation of mechanical energy. a) (8 marks} Calculate the total work done on the person from the starting position to position B. Hint: Find the speed at B and use the workenergy theorem. b} (8 marks} Calculate the height of B above the ground. EONUS QUESTION: SEE GOGCLE DOC WITH DIAGRAHS. Diagram for question 1: m Diagram for question 2: B A Bonus question: Go to: https://phet.colorado.edu/en/simulations/energy-skate-park-basics and click on the example with friction. Check "Bar graph so you see the values of energy. Drag the skateboarder to the top of the halfpipe and let go, observing the energies. Explain in detail why the amount of thermal energy increases gradually along the sides of the halfpipe but I suddenly spikes up when the skateboarder is at the bottom of the halfpipe