A 126 g ball is dropped from a height of 64.9 cm above a spring of negligible mass. The ball compresses the spring to a maximum displacement of 4.48716 cm. The acceleration of gravity is 9.8 m/s2.
Calculate the spring force costant k. Answer in units of N/m
We can solve this problem using conservation of energy.
Before the ball drops:
Using the final position of the ball as the reference:
The potential energy of the ball is PE = mg(h + x). the kinetic energy is obviously 0.
The potential ...
It shows how to calculate the spring force constant by droping a ball onto it.