Michelle and her two brothers have some toys (spheres) they wish to roll down an incline in a race to the finish. Three objects are shown in which the siblings can choose from. Object A is a solid sphere with a mass of and radius of ; Object B is a hollow sphere with a mass of and radius of ; Object C is a solid sphere with a mass of and radius of . The rules are that everyone starts at the same time and cannot push the spheres down, they must roll on their own. Which is most likely the best choice for Michelle if she wishes to win the race?

Laura plans on running track in college. She has a 5:08 mile time which means she can run 4 laps around a circular track (, ) in this time. As she crosses the finish line, what is the displacement of Laura's run?

A track runner who weighs 750 N is running around a curve at a speed of in an arc whose radius, , is 6.0 m. Find the centripetal force acting on him.

Two cars are racing side by side on a circular race track. Which has the greater linear velocity?

Use energy conservation and your knowledge of rotational dynamics to solve the following problem

For a ball of radius and mass starting at the top of a friction-less ramp of height , as shown below, what will the final velocity of the ball be just as it leaves the bottom of the ramp? Assume that the gravity on earth is and round your answer to the nearest 2 significant figures.

Steve likes to work out after school. He goes to a new gym's free-weight section, he notices something strange about the dumbbells (see image).

What did Steve notice when he was doing his bicep curls?

Suppose that a mass hanging from a string attached to the ceiling is swinging in a circular motion, as shown in the diagram below.

If the mass is swinging at a constant speed of , and the mass is located from the center of its circular motion, what is the angle of the hanging mass from the ceiling?

A wheel of radius rolls along a flat floor and makes rotations over a period of time. What distance has the wheel traveled?

Suppose that an astronaut is traveling around the Earth at a constant speed. Which of the following statements regarding the astronaut's circular motion is correct?

A 55 cm rope is tied to the handle of a bucket, which is then spun in a vertical circle. The mass of the bucket is 3.3 kg. What is the minimum speed required such that the rope does not become slack when the bucket reaches the highest point in the circle?