Exam 5: Dynamics of Uniform Circular Motion

An indoor track is to be designed such that each end is a banked semi-circle with a radius of 24 m. What should the banking angle be for a person running at speed v = 6.0 m/s?

A solar-powered car is traveling at constant speed around a circular track. What happens to the centripetal acceleration of the car if the speed is doubled?

A 1500-kg vehicle travels at a constant speed of 22 m/s around a circular track that has a radius of 85 m. -Which statement is true concerning this vehicle?

Which force is responsible for holding a car in an unbanked curve?

The radius of the earth is 6400 km. An incoming meteorite approaches the earth along the trajectory shown. The point C in the figure is 6400 km above the earth's surface. The point A is located at the earth's center. At point C, what acceleration would the meteorite experience due to the earth's gravity?

An airplane flying at 115 m/s due east makes a gradual turn following a circular path to fly south. The turn takes 15 seconds to complete. -What is the radius of the curve that the plane follows in making the turn?

A plane is traveling at 200 m/s following the arc of a vertical circle of radius R. At the top of its path, the passengers experience "weightlessness." To one significant figure, what is the value of R?

A 1800-kg Jeep travels along a straight 500-m portion of highway (from A to B) at a constant speed of 10 m/s. At B, the Jeep encounters an unbanked curve of radius 50 m. The Jeep follows the road from B to C traveling at a constant speed of 10 m/s while the direction of the Jeep changes from east to south. -What is the magnitude of the frictional force between the tires and the road as the Jeep negotiates the curve from B to C?

A rock is whirled on the end of a string in a horizontal circle of radius R with a constant period T. If the radius of the circle is reduced to R/3, while the period remains T, what happens to the centripetal acceleration of the rock?

A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate the unbanked curve?

Complete the following statement: The maximum speed at which a car can safely negotiate an unbanked curve depends on all of the following factors except

A 1800-kg Jeep travels along a straight 500-m portion of highway (from A to B) at a constant speed of 10 m/s. At B, the Jeep encounters an unbanked curve of radius 50 m. The Jeep follows the road from B to C traveling at a constant speed of 10 m/s while the direction of the Jeep changes from east to south. -What is the magnitude of the acceleration of the Jeep as it travels from B to C?

A satellite in orbit around the earth has a period of one hour. An identical satellite is placed in an orbit having a radius that is nine times larger than that of the first satellite. What is the period of the second satellite?

Consider a hypothetical planet in our solar system whose average distance from the Sun is about four times that of Earth. Determine the orbital period for this hypothetical planet.

A ball moves with a constant speed of 4 m/s around a circle of radius 0.25 m. What is the period of the motion? [Hint: For this calculation, you need to know the circumference of the circle.]

A small car of mass M travels along a straight, horizontal track. As suggested in the figure, the track then bends into a vertical circle of radius R. -Which one of the following expressions determines the minimum speed that the car must have at the top of the track if it is to remain in contact with the track?

Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve if the radius of the curve is 2.00 × 10² m.

A rocket orbits a planet in a circular orbit at a constant speed as shown in the drawing. Note these arrows: -At the instant shown in the drawing, which arrow indicates the direction of the acceleration of the rocket?

A rocket orbits a planet in a circular orbit at a constant speed as shown in the drawing. Note these arrows: -At the instant shown in the drawing, which arrow shows the direction of the reaction force exerted on the planet by the rocket?

A certain string just breaks when it is under 25 N of tension. A boy uses this string to whirl a 0.75-kg stone in a horizontal circle of radius 2.0 m. The boy continuously increases the speed of the stone. At approximately what speed will the string break?