# Problem: When an object at the end of a spring compresses that spring by some distance, the object gains a potential energy of (1/2)kd2, where k is known as the “force constant”. A 15 kg mass compresses a spring with a force constant of 200 N/m by 15 cm, and is then released, launching it across a frictionless floor. How much kinetic energy does the mass gain from the spring? If that mass crosses 15 cm of the floor and then slides up a 40o incline, how far up the ramp will the mass get before it comes to a stop and begins to slide down the ramp?

###### Problem Details

When an object at the end of a spring compresses that spring by some distance, the object gains a potential energy of (1/2)kd2, where k is known as the “force constant”. A 15 kg mass compresses a spring with a force constant of 200 N/m by 15 cm, and is then released, launching it across a frictionless floor. How much kinetic energy does the mass gain from the spring? If that mass crosses 15 cm of the floor and then slides up a 40o incline, how far up the ramp will the mass get before it comes to a stop and begins to slide down the ramp?