8. Centripetal Forces & Gravitation

In uniform circular motion, which of the following quantities are constant?

Which of the following objects is experiencing $\mathrm{centripetal} \mathrm{acceleration}$?

When rounding a curve in uniform circular motion, a car tends to:

In uniform circular motion, a particle traveling around a circle at constant speed will experience which type of $acceleration$?

In uniform circular motion, the tangential speed on the outer edge of a rotating carousel is:

In a system where mass $m_1$ rotates in a horizontal circle of radius $r$ on a frictionless table, attached by a string passing through a hole to a hanging mass $m_2$ (which remains at rest), what must be the speed of $m_1$ for $m_2$ to stay stationary?

In uniform circular motion, how long does it take the bob to make one full revolution (one complete trip around the circle)?

If a car traveling in a circular path suddenly encounters ice and friction becomes negligible, what will happen to the car's motion?

In uniform circular motion, how do $\mathrm{inertia}$ and $\mathrm{centripetal} \mathrm{force}$ interact to keep an object moving in a circle?

For a wheel rolling to the right without slipping, what is the direction of the velocity of the point at the very top of the wheel relative to the ground?

In uniform circular motion, what is the name of the force that acts toward the center of the circle to overcome inertia and keep an object moving along a curved path?

In the context of uniform circular motion, what is the best description of the $\mathrm{centrifugal force;}$ as discussed in drivers education classes?

A ball travels on a frictionless circular track at 3m/s. The ball cannot have an acceleration greater than 1.5m/s² or it will go off the track. What is the smallest radius the circular track can have so that the ball stays on the track?

At its Ames Research Center, NASA uses its large '20-G' centrifuge to test the effects of very large accelerations ('hypergravity') on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and an astronaut is strapped in at the other end. Suppose that he is aligned along the centrifuge's arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this device is typically 12.5g. What is the difference between the acceleration of his head and feet if the astronaut is 2.00 m tall?

At its Ames Research Center, NASA uses its large '20-G' centrifuge to test the effects of very large accelerations ('hypergravity') on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and an astronaut is strapped in at the other end. Suppose that he is aligned along the centrifuge's arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this device is typically 12.5g. How fast must the astronaut's head be moving to experience this maximum acceleration?