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L7.2: Five Examples of Circular Motion Problems

Last updated almost 6 years ago

8 questions

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Question 1

1.

A 30 kg kid is spinning on the edge of a horizontal merry-go-round with a radius of 5 m. She makes 4 spins in 12 seconds. If she is holding onto a handle of the merry-go-round with 200N of force, how much force of friction must her feet apply to keep her in the circle? Round to a whole number.

Question 2

2.

A 50kg runner rounds a banked turn at 5 m/s. If the radius of curvature of the turn is 20 m, what is the angle that the track is banked by? Answer in degrees and round to a whole number.

Question 3

3.

What tangential velocity must this object spin with so that the angle the 10m string makes with the vertical equals 60 degrees? (note: plug in mass as a variable here, it will cancel out). Round to a whole number.

Question 4

4.

A 1000 kg car rides over a hill with a radius of curvature of 30 m. What is the maximum speed that the car can travel over the hill without launching off the hill (when it's too fast to be in circular motion). Round to a whole number.

Question 5

5.

Let's say that the car moves over the hill at 10 m/s. What is the value of the normal force at the top of the hill? Answer with 2 sig figs

Question 6

6.

What is the minimum speed that a 5kg car can go around a loop-de-loop with a diameter of 10m without falling off the top (too slow for circular motion)? Round to a whole number in m/s.

Question 7

7.

If the car were going at 10 m/s speed what would be the normal force at the top of its motion? Round to a whole number

Question 8

8.

If the car were going at 15 m/s what would be the normal force at the bottom of its motion? Round to a whole number