Circular Motion

The diagram shows the top view of a 65-kilogram student at point A on an amusement park ride. The ride spins the student in a horizontal circle of radius 2.5 meters, at a constant speed of 8.6 meters per second. The floor is lowered and the student remains against the wall without falling to the floor. The magnitude of the centripetal force acting on the student at point A is approximately

• 1.2 x 10⁴ N

• 1.9 x 10³ N

• 2.2 x 10² N

• 3.0 x 10¹ N

Tags

NGSS.HS-PS2-1

The magnitude of the centripetal force acting on an object traveling in a horizontal, circular path will decrease if the

• radius of the path is increased

• mass of the object is increased

• direction of motion of the object is reversed

• speed of the object is increased

Tags

NGSS.HS-PS2-1

Centripetal force F acts on a car going around a curve. If the speed of the car were twice as great, the magnitude of the centripetal force necessary to keep the car moving in the same path would be

• F_c

• 2F_c

• F_c/2

• 4F_c

Tags

NGSS.HS-PS2-1

A ball attached to a string is moved at constant speed in a horizontal circular path. A target is located near the path of the ball as shown in the diagram. At which point along the ball's path should the string be released, if the ball is to hit the target?

• A

• B

• C

• D

Tags

NGSS.HS-PS2-1

The diagram shows an object moving counterclockwise around a horizontal, circular track. Which diagram represents the direction of both the object's velocity and the centripetal force acting on the object when it is in the position shown?

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• 
• 
• 

Tags

NGSS.HS-PS2-1

A 1.0 × 10³-kilogram car travels at a constant speed of 20 meters per second around a horizontal circular track. Which diagram correctly represents the direction of the car's velocity (v) and the direction of the centripetal force (F) acting on the car at one particular moment?

• 
• 
• 
• 

Tags

NGSS.HS-PS2-1

A 0.50-kilogram object moves in a horizontal circular path with a radius of 0.25 meter at a constant speed of 4.0 meters per second. What is the magnitude of the object's acceleration?

• 1. 8.0 m/s²

• 2. 16 m/s²

• 3. 32 m/s²

• 4. 64 m/s²

Tags

NGSS.HS-PS2-1

A go-cart travels around a flat, horizontal, circular track with a radius of 25 meters. The mass of the go-cart with the rider is 200 kilograms. The magnitude of the maximum centripetal force exerted by the track on the go-cart is 1200 newtons. What is the maximum speed the 200-kilogram go-cart can travel without sliding off the track?

• 1. 8.0 m/s

• 2. 12 m/s

• 3. 150 m/s

• 4. 170 m/s

Tags

NGSS.HS-PS2-1

Which change would increase the maximum speed at which a go-cart could travel around a circular track without sliding off?

• Decrease the coefficient of friction between the go-cart and the track.

• Decrease the radius of the track.

• Increase the radius of the track.

• Increase the mass of the go-cart.

Tags

NGSS.HS-PS2-1

A 2.0 × 10³ -kilogram car travels at a constant speed of 12 meters per second around a circular curve of radius 30 meters. What is the magnitude of the centripetal acceleration of the car as it goes around the curve?

• 0.40 m/s²

• 4.8 m/s²

• 800 m/s²

• 9,600 m/s²

Tags

NGSS.HS-PS2-1