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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. v = 8.0 m/sec r = 4.0m m = 1.0 kg 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. v = 8.0 m/sec r = 4.0m m = 1.0 kg 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. Speed = 4m/sec Mass = 10.kg Radius = 4m 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. Speed = 4m/sec Mass = 10.kg Radius = 4m 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?
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Which quantity would increase if the radius increased?
Which quantity would increase if the radius increased?
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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
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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
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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?
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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?
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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. string 0.50m 1.0-kg mass 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. string 0.50m 1.0-kg mass What is the magnitude of the centripetal force acting on the object?
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While the object is undergoing uniform circular motion, its acceleration
While the object is undergoing uniform circular motion, its acceleration
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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
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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
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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
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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
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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
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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
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What is the magnitude of the centripetal force acting on the cart?
What is the magnitude of the centripetal force acting on the cart?
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Base your answer(s) to the following question(s) on the information and diagram below. A 1.00 × 10^3-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 × 10^3-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?
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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
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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?
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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.]
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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.]
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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?
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Study Notes
Centripetal Motion
- Centripetal acceleration is the change in direction of an object moving in a circular path, not the change in speed.
- An object in uniform circular motion experiences a centripetal acceleration directed towards the center of the circle, changing its velocity.
- The magnitude of centripetal acceleration (ac) is calculated using the formula: ac = v2/r, where v is the speed and r is the radius of the circular path.
- The greater the speed, the greater the centripetal acceleration.
- The greater the radius, the smaller the centripetal acceleration.
- The centripetal force (Fc) is the force that causes the change in direction of the object.
- Fc = mac, where m is the mass of the object.
- The centripetal force is a net force, and it is always directed towards the center of the circular path.
- If the string holding a rotating object breaks, the object will move in a straight line tangential to the circle.
- The tangential velocity is constant in uniform circular motion.
- Centripetal acceleration remains constant in uniform circular motion.
- Period does not affect any force in centripetal motion, but is correlated to speed.
- The direction of the constant centripetal acceleration is always directed toward the center of the circular path.
- An object moving in a uniform circular motion has a constant speed, a changing velocity, consistent centripetal acceleration, and a continuous force directed towards the center of the circle.
Examples of Calculations
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Example 1: A 1.0 kg mass travels at 8.0 m/s in a 4.0 m radius circle. What is the centripetal acceleration?
- ac = v2/r = (8.0 m/s)2 / (4.0 m) = 16 m/s2
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Example 2: A 10.0 kg mass travels at a constant speed of 4.0 m/s around a 4.0 m radius circle. What is the centripetal acceleration?
- ac = (4.0 m/s)2 / (4.0 m) = 4m/s2
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Example 3: What is the minimum friction needed so a 1200 kg car can move around a curve of 25 m radius with a speed of 9.0 m/s ?
- Centripetal force = 1200kg ✕ (9.0m/s)2 / 25m = 4.6 ×103N
- Friction force = Centripetal force to stop the car from slipping or sliding on the horizontal path., which is approximately 4600N
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Description
Test your understanding of centripetal motion and acceleration in circular paths. This quiz covers the definitions, formulas, and concepts related to centripetal acceleration and force. See how well you grasp the relationships between speed, radius, and the forces at play in circular motion.
