Avertical spring with a spring constant of 310 n/m is mounted on the floor. from directly above the spring, which is unstrained, a 0.28-kg block is dropped from rest. it collides with and sticks to the spring, which is compressed by 3.6 cm in bringing the block to a momentary halt. assuming air resistance is negligible, from what height above the compressed spring was the block dropped?

You have been hired to design a spring-launched roller coaster thatwill carry two passengers per car. the car goes up a 10-m highhill, then descends 15m to the track's lowest point. you'vedetermined that the spring can be compressed a maximum o 2.0m andthat a loaded car will have a maximum mass of 400kg. for safetyreasons, the spring constant should be 10% larger than the minimumneeded 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.