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Assume you held a ball at a height h above the ground and then dropped it.
a. Describe the expression for the total energy of ball at a height h just before you drop it?
b. Find the expression for the total energy of the ball just before the ball hits the ground (height = 0, velocity = vf)?
c. Use the Conservation of Mechanical Energy and the expressions found in (a) and (b) to write a single energy equation for the ball as it falls from a height of h to a height of 0.
d. Solve the expression in (c) for the final velocity vf. Describe it in terms of the variables m, g and h.
What value does this give for the speed of sound in air. What is the speed of the ball at that point.
Assuming that vertical = 0 degrees, the angle of the pendulum oscillates between the maximum amplitudes: -theta max and theta max. What is the angle of the pendulum at which the gravitational potential energy is minimum
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