For this assignment, you'll solve problems using the method presented in Solving Conservation of Energy Problems.

Part A

Do this problem first. Download this template and do the problem presented.

Part B

Now do the following problem using the conservation of energy method (no dvats allowed for this one). Employ the same steps as in the previous problem. Keep in mind these things:

• When a spring is involved in a problem, select the origin as the uncompressed position of the spring.
• When gravitational potential energy is involved in a problem, select +y to be up.
• For initial and final states, select the two points that will provide the most efficient solution (the fewest steps).

1. A ball of mass m is initially held in place with a bar on top of a tightly-coiled spring of spring constant k as shown in Figure A. The bar is then quickly released, and the ball is propelled upward. The spring relaxes from its initially compressed position y_i to its completely relaxed position y_e. How high will the ball rise above its initial position y_i? Give your result in terms of the given symbols m, k, y_e, y_i, and g.

2. Given the following values, determine the height that the ball rises above its initial position. Provide checks of your work.

m = 0.55 kg
k = 150 N/m
|y_e - y_i| = 0.12 m