5.A 73 kg skier coasts up a hill inclined at 9.30 to the horizontal. Friction is negligible. Use the work-energy theorem to determine how far along the hill the skier slides before stopping, if the initial speed at the bottom is 4.2 m/s. 6. A 1.2 kg dynamics cart is rolling to the right along a horizontal lab desk at 3.6 m/s, when it collides he adon with a spring bumper that has a spring constant of 200 N/m. a) Determine the maximum compression of the spring. (0.28 m) b) Determine the speed of the cart at the moment when the spring was compressed by 0.1 m. (1.3 m/s) c) Determine the acceleration of the cart at the moment when the spring was compressed by 0.10 m. (17 m/s2 )Part C: Knowledge/Understanding (15) 1.Kyle is in his car traveling at a constant speed of 150 km/h down the road. He passes a police car that was stationary at the side of the road. He sees the radar reading and immediately begins accelerating (8 m/s/s) in order to catch the delinquent teenager. How long and how far down the road does he catch Kyle? 2. A train is travelling at 23 m/s [E] when it enters a curved portion of the track and experiences an average acceleration of 0.14 mls2 [S] for 95 3. Determine the velocity of the trains after this acceleration 3. A plane is flying in a vertical loop of 1500 m radius. At what speed is the plane flying at the top of the loop, if the vertical force exerted by the air on the plane is zero at this point? 4. Tethys, one of Saturn's moons, travels in a circular orbit at a speed of 1. 1x104 m/s. The mass of Saturn is 5.67x1026 kg. Calculate a) the orbital radius in kilometres. b) the orbital period in Earth days