You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 10-m-high hill, then descends 15 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.2 m and that a loaded car will have a maximum mass of 450 kg . For safety reasons, the spring constant should be 15 % larger than the minimum needed for the car to just make it over the top. a) what spring constant (k) should you specify ?
b) What is the maximum speed of a 400 kg car if the spring iscompressed the full amount.