You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-mm-high hill, then descends 18 mm to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.2 mm and that a loaded car will have a maximum mass of 420 kgkg. For safety reasons, the spring constant should be 13 %% 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 350 kg car if the spring iscompressed the full amount.