A 10- kg ball starting from rest rolls down a 5 m tall smooth hill from one person to another person who is standing at the bottom of the hill with a big spring whose constant is 100 N/m. How far does the spring compress in order to stop the ball

3.13 m

Explanation:

Given

mas of the ball is m=10 kg

The ball rolls down a vertical distance of 5 m

Spring constant of spring is

Here, the potential energy of the ball converted into kinetic energy which in turn converts into elastic potential energy

Thus, the spring compresses by 3.13 m.

15.3 cos 65 degrees trig