In these problems you will need the formulas for the period of a simple pendulum AND the rearranged version (solving for L) we worked out in class. 1. What is the period of a 1-m long pendulum? Do you remember the historical significance of this particular length of pendulum? If not, look back in your notes from the first few days of class. 2. If you want a Grandfather clock to swing with a 1-second period, how long should the pendulum be inside of it? 3. Calculate the experimental length of the giant swing, assuming that someone took 2.8 seconds to swing from rest on the platform to the opposite side of the swing (on the left).
Solve these problems using the energy concepts. 1. A lacrosse ball (0.15 kg) is thrown straight upward at 14 m/s. How high does it go (max height)? 2. A brick of unknown mass is dropped from 3-m above the ground. Find the speed it has right before hitting the ground. (Recall that the mass does not matter - show this in the calculations.)
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