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EnergyHWSPring2

Suppose you want to use a spring-loaded gun to propel a 85g ball up 1 m to get to the top of the first hill on your roller coaster. Be sure to draw a large, accurate diagram. As with all of your HW assignments, please do this on a separate page with your name and the date and be sure to show all work if you expect to receive credit!

1. If the base of your hill makes a 45 degree angle with respect to the ground, what size spring should you use and how much should you compress it? (the spring gun is also at a 45 degree angle at the bottom of the hill in order to propel the ball up the hill)

2. What is the maximum speed of the ball?

3. Halfway back down the first hill you enter a flat horizontal semicircular turn with a radius of 5 cm. At what speed do you enter this turn?

4. What is your acceleration in the turn above? Use formulas from chapter 7 to answer this question.

5. What do you "feel" (sensation) when you are in freefall?