Solve the following problem given below:
Problem: A 12.6kg runaway grocery cart runs into a spring with spring constant 230N/m and compresses it by 68.1cm.
Part I: What was the speed of the cart just before it hit the spring?
Part II: What is the total energy stored in the spring after the collision?
Part III: What is the maximum force exerted on the cart by the spring during the collision?
Please show all work so I can fully understand all concepts! Thanks.