Answer
See the answer below.
Work Step by Step
Our object, which we assume is a rock, is having a 20 J initial kinetic energy, 20 J initial gravitational potential energy, and 0 J elastic potential energy.
Its final kinetic energy is zero, as shown in the given graph, and its final gravitational potential energy is negative which means it moves down the origin.
Thus,
A rock that is having a mass of 2.5 is moving at a speed of 4 m/s when it was above a spring by a distance of 81.6 cm. Finally, the rock stops when it hits the spring. And the total energy stored in the spring is about 50 J. Find the compressed distance of the spring when you know it stopped at a distance of 40.8 cm below the origin.