Podcast
Questions and Answers
An object traveling with uniform circular motion has a centripetal acceleration due to the change in
An object traveling with uniform circular motion has a centripetal acceleration due to the change in
The diagram here represents a mass of 1.0 kilogram traveling at 8.0 meters per second in a circular path of radius 4.0 meters. What is the centripetal acceleration of the object?
The diagram here represents a mass of 1.0 kilogram traveling at 8.0 meters per second in a circular path of radius 4.0 meters. What is the centripetal acceleration of the object?
16 m/sec^2
The diagram shown represents a mass of 10.0 kilograms traveling at a constant speed of 4 meters per second in a horizontal circular path about point D.
The centripetal acceleration of the satellite is directed toward point
The diagram shown represents a mass of 10.0 kilograms traveling at a constant speed of 4 meters per second in a horizontal circular path about point D. The centripetal acceleration of the satellite is directed toward point
What is the magnitude of the centripetal acceleration?
What is the magnitude of the centripetal acceleration?
Signup and view all the answers
Which quantity would increase if the radius is increased?
Which quantity would increase if the radius is increased?
Signup and view all the answers
If the 10-kilogram mass is replaced with a greater mass, the centripetal acceleration will
If the 10-kilogram mass is replaced with a greater mass, the centripetal acceleration will
Signup and view all the answers
If object O is moving in a uniform circular motion around point P at constant speed, which vector shown represents a centripetal force?
If object O is moving in a uniform circular motion around point P at constant speed, which vector shown represents a centripetal force?
Signup and view all the answers
If the velocity of a car traveling around a circular track doubles, its centripetal acceleration would be
If the velocity of a car traveling around a circular track doubles, its centripetal acceleration would be
Signup and view all the answers
An object on the end of a string rotates clockwise in a circle as shown in the diagram. If the string breaks when the object is at point X, which arrow below best represents the path of the object after the string has broken?
An object on the end of a string rotates clockwise in a circle as shown in the diagram. If the string breaks when the object is at point X, which arrow below best represents the path of the object after the string has broken?
Signup and view all the answers
The diagram shows an object traveling clockwise in a horizontal, circular path at constant speed. Which arrow best shows the direction of the centripetal acceleration of the object at the instant shown?
The diagram shows an object traveling clockwise in a horizontal, circular path at constant speed. Which arrow best shows the direction of the centripetal acceleration of the object at the instant shown?
Signup and view all the answers
The diagram shows an object with a mass of 1.0 kilogram attached to a string 0.50 meter long. The object is moving at a constant speed of 5.0 meters per second in a horizontal circular path with center at point O.
What is the magnitude of the centripetal force acting on the object?
The diagram shows an object with a mass of 1.0 kilogram attached to a string 0.50 meter long. The object is moving at a constant speed of 5.0 meters per second in a horizontal circular path with center at point O. What is the magnitude of the centripetal force acting on the object?
Signup and view all the answers
While the object is undergoing uniform circular motion, its acceleration
While the object is undergoing uniform circular motion, its acceleration
Signup and view all the answers
If the string is cut when the object is at the position shown, the path the object will travel from this position will be
If the string is cut when the object is at the position shown, the path the object will travel from this position will be
Signup and view all the answers
If the string is lengthened while the speed of the object remains constant, the centripetal acceleration of the object will
If the string is lengthened while the speed of the object remains constant, the centripetal acceleration of the object will
Signup and view all the answers
A 60-kilogram adult and a 30-kilogram child are passengers on a rotor ride at an amusement park. When the rotating hollow cylinder reaches a certain constant speed, v, the floor moves downward. Both passengers stay "pinned" against the wall of the rotor, as shown in the diagram.
Compared to the magnitude of the acceleration of the adult, the magnitude of the acceleration of the child is
A 60-kilogram adult and a 30-kilogram child are passengers on a rotor ride at an amusement park. When the rotating hollow cylinder reaches a certain constant speed, v, the floor moves downward. Both passengers stay "pinned" against the wall of the rotor, as shown in the diagram. Compared to the magnitude of the acceleration of the adult, the magnitude of the acceleration of the child is
Signup and view all the answers
The diagram shows a 5.0-kilogram cart traveling clockwise in a horizontal circle of radius 2.0 meters at a constant speed of 4.0 meters per second.
At the position shown, the velocity of the cart is directed toward point
The diagram shows a 5.0-kilogram cart traveling clockwise in a horizontal circle of radius 2.0 meters at a constant speed of 4.0 meters per second. At the position shown, the velocity of the cart is directed toward point
Signup and view all the answers
At the position shown, the centripetal acceleration of the cart is directed toward point
At the position shown, the centripetal acceleration of the cart is directed toward point
Signup and view all the answers
If the mass of the cart was doubled, the magnitude of the centripetal acceleration of the cart would be
If the mass of the cart was doubled, the magnitude of the centripetal acceleration of the cart would be
Signup and view all the answers
What is the magnitude of the centripetal force acting on the cart?
What is the magnitude of the centripetal force acting on the cart?
Signup and view all the answers
Base your answer(s) to the following question(s) on the information and diagram below.
A 1.00 × 103-kilogram car is driven clockwise around a flat circular track of radius 25.0 meters. The speed of the car is a constant 5.00 meters per second.
What minimum friction force must exist between the tires and the road to prevent the car from skidding as it rounds the curve?
Base your answer(s) to the following question(s) on the information and diagram below. A 1.00 × 103-kilogram car is driven clockwise around a flat circular track of radius 25.0 meters. The speed of the car is a constant 5.00 meters per second. What minimum friction force must exist between the tires and the road to prevent the car from skidding as it rounds the curve?
Signup and view all the answers
If the circular track were to suddenly become frictionless at the instant shown in the diagram, the car's direction of travel would be
If the circular track were to suddenly become frictionless at the instant shown in the diagram, the car's direction of travel would be
Signup and view all the answers
Base your answer(s) to the following question(s) on the information and diagram below.
A 1200-kilogram car traveling at a constant speed of 9.0 meters per second turns at an intersection. The car follows a horizontal circular path with a radius of 25 meters to point P.
At point P, the car hits an area of ice and loses all frictional force on its tires. Which path does the car follow on the ice?
Base your answer(s) to the following question(s) on the information and diagram below. A 1200-kilogram car traveling at a constant speed of 9.0 meters per second turns at an intersection. The car follows a horizontal circular path with a radius of 25 meters to point P. At point P, the car hits an area of ice and loses all frictional force on its tires. Which path does the car follow on the ice?
Signup and view all the answers
Calculate the magnitude of the centripetal force acting on Moon as it orbits the Earth, assuming a circular orbit and an orbital speed of 1.02 × 10^3 meters per second. [Show all work, including the equation and substitution with units.]
Calculate the magnitude of the centripetal force acting on Moon as it orbits the Earth, assuming a circular orbit and an orbital speed of 1.02 × 10^3 meters per second. [Show all work, including the equation and substitution with units.]
Signup and view all the answers
Base your answer(s) to the following question(s) on the information given below.
Friction provides the centripetal force that allows a car to round a circular curve.
Find the minimum coefficient of friction needed between the tires and the road to allow a 1600-kilogram car to round a curve of radius 80. meters at a speed of 20. meters per second. [Show all work, including formulas and substitutions with units.]
Base your answer(s) to the following question(s) on the information given below. Friction provides the centripetal force that allows a car to round a circular curve. Find the minimum coefficient of friction needed between the tires and the road to allow a 1600-kilogram car to round a curve of radius 80. meters at a speed of 20. meters per second. [Show all work, including formulas and substitutions with units.]
Signup and view all the answers
If the mass of the car were increased, how would that affect the maximum speed at which it could round the curve?
If the mass of the car were increased, how would that affect the maximum speed at which it could round the curve?
Signup and view all the answers
Study Notes
Centripetal Motion Practice Problems
-
Centripetal Acceleration: An object undergoing uniform circular motion experiences a change in direction, resulting in centripetal acceleration. It is not a change in speed.
-
Centripetal Acceleration Formula: Centripetal acceleration (ac) is calculated as ac = v²/r, where v is the speed and r is the radius of the circular path.
-
Relationship to Radius and Velocity: Increasing the radius of the circular path decreases the centripetal acceleration for a constant speed. Increasing the speed increases the centripetal acceleration for a constant radius.
-
Direction of Centripetal Acceleration: Always points towards the center of the circular path.
-
Mass and Acceleration: The mass of an object does not affect its centripetal acceleration in uniform circular motion, given a constant velocity and radius.
-
Tangential Velocity: As the radius increases in uniform circular motion, the tangential velocity remains constant.
-
Centripetal Force: The centripetal force is the net force needed to keep an object moving in a circular path. It is not a separate force, but rather a way to describe the net forces causing circular motion. The magnitude of the centripetal force can be calculated with the following formula: Fc = mac.
-
Friction as Centripetal Force: Friction can provide the centripetal force needed to keep an object moving in a circle on a horizontal surface. The minimum friction force needed is directly proportional to the mass, speed, and inversely proportional to the radius of the circular path.
Additional Concepts
-
Direction after string breaks: An object moving in a circular path will follow a straight-line path tangent to the circle if the centripetal force is removed suddenly.
-
Velocity and acceleration: Velocity is a vector that specifies the speed and direction of motion, and acceleration is the rate of change of velocity. Centripetal acceleration changes the direction of an object's velocity while keeping its speed constant.
-
Force and acceleration: Force and acceleration are related by Newton's second law: F = ma. Any unbalanced force will cause acceleration, thereby causing changes in the direction and/or speed of motion.
-
Circular Motion: In circular motion, there are two types of acceleration: tangential acceleration (related to speed) and centripetal acceleration (related to the change in direction).
-
Circular path: The trajectory of an object in uniform circular motion is a circle, and the speed of the motion remains constant.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Test your understanding of centripetal motion and acceleration with these practice problems. Explore the formulas, relationships between radius and velocity, and the concept of tangential velocity as it applies to objects in circular motion.
