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Conservation of Angular Momentum Problems

Now that you have some exposure to the concept of angular momentum and its conservation, here are some problems you may want to try yourself. To guess an answer, simply click on the text that says guess answer then type the number you believe to be the answer in the block that will pop up. Pay attention to significant figures as if they are not correct, the answer will be wrong. Also make sure you include the units of your answer. To see the solution for a problem, click on show solution and you will be taken to the solution.

Problem 1:

A ball is swung on a string at a velocity of 14 m/s and with a radius of 1.5 m. If the radius is decreased to a value of 0.3 m, what is the new speed of the ball provided the sum of the net external torques is zero?

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Problem 2:

A moon is in an elliptical orbit around a planet. The Apogee part of its orbit has a radius of 3.0 * 10^5 m and the Perigee part has a radius of 1.5 * 10^5 m. Find the speed that the moon orbits the planet at the point where its radius is its largest, if its speed is 315 m/s when it reaches a point in its orbit where the radius is 2.5 * 10^5 m.

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Now that wasn't so bad. Most problems involving the conservation of angular momentum are a great deal like these with little variations. Other than making you use other Physics concepts to solve for other variables before using this law, it doesn't get much harder than this. Since they are starting to get repetitive, I recommend seeing your textbook for other problems, if you still are unsure, or moving on to another section.


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