1. At the top of a 70.0 m diameter loop a roller coaster car is going 23.0 m/s. a) Ignoring friction, how high does the previous hill need to be to get this speed if the car is going at 5.0 m/s at the top of the hill? b) What is the velocity of the car immediately before the loop? 2. A toy car track is at an angle of 25 upward. The car is at the bottom against a compressed spring witha spring coefficient of 60 N/m. If the car has a mass of 34 g how much do you need to compress thespring for the horizontal component of the car's distance to be 75.0 cm after it leaves the spring withoutfriction? 3. A person riding a bicycle with a combined mass of 95 kg coast (without peddling) down a 14 rampthat is 12.0 m long. At the top of the ramp the bicycle is going 3.65 m/s. What is the speed at thebottom if friction does 1495 J of work? 4. In the 100 m dash it takes a sprinter the first 60 m to get to maximum speed while accelerating. Thefinal 40 m is done at a constant speed. If it takes a 67 kg runner 7.20 seconds to accelerate the first 60m, a) how much power is the runner exerting? b) If the runner were going at a constant velocity withthe same power for the last 40 m, how long would it take? Write down the key words or phrases for the following problems (5&6). Make sure you list all needed startingequations. Do not fully solve the problem. Do not solve the equation for the missing variable. 5. A semitrailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls ontoa runaway-truck ramp that is inclined at an angle of 14.0 above the horizontal. The semitrailer coasts toa stop after traveling 154 m along the ramp. What was the truck's initial speed? Neglect air resistanceand friction. 6. Starting from rest, a 93-kg firefighter slides down a fire pole. The average frictional force exerted onhim by the pole has a magnitude of 810 N, and his speed at the bottom of the pole is 3.4 m/s. How far did he slide down the pole