The tallest cliffs ever discovered in our solar system are located on Uranus’s moon Miranda (g=0.0772 m/s^2 ). If you were to drop a rock off of one of these cliffs, it would take 12 minutes to hit the bottom. a. How high is the cliff? b. What is the speed of the rock when it hits the bottom?

a. 20.01 km

b. 55.584 m/s

Explanation:

Assume there's no air resistance there. We can use the following equation of motion to calculate the distance traveled over t = 12 minutes (12 * 60 = 720 seconds):

And the speed with it hits the bottom

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

we need to know the time interval during which the force acts. impulse of force = momentum change