Conceptual
When calculating for rotational acceleration, if you increase the radius what happens?
Nothing
The rotational acceleration decreases
The rotational velocity increases
The rotational acceleration increases
2. The rotational acceleration decreases
In uniform circular motion, there is a:
a) constant velocity
b) constant angular velocity
c) zero acceleration
d) non-zero tangential acceleration
b) constant angular velocity
Andrew turns on his 4 kg electric train and it goes around its circular track in 7 seconds. If the track has a radius of 2 meters, determine the centripetal acceleration.
1.61 m/s^2
1. it increases to 3X
2. it decreases to 6X
3. it increases to 6X
4. it increases to 9X
4. it increases to 9X
A 2.0 kg rock is moving in a 0.5 m horizontal circle every 0.25 s. Which of the following does the rock experience?
1. no net force
2. a centripetal acceleration
3. only the acceleration of gravity
4. motion due only to its inertia
2. a centripetal acceleration
What relationship must exist between an applied force and the radius of an object to its center point if uniform circular motion occurs?
F∝r
F∝1/r
F∝r^2
F∝2r
2. F∝1/r
2.4 m/s
A runner moving at a speed of 9.10 m/s rounds a bend with a radius of 22.0 m. What is the centripetal acceleration of the runner? Round your answer to the nearest tenth.
3.8 m/s^2
Fill in the Blank:
The ________ force supplies the centripetal force requirement for the car to move in a horizontal circle. Without it, the car would turn its wheels but would not move in a circle (as is the case on an icy surface).
Friction Force
A ball was swung at constant speed in a horizontal circle on the top of a level lab table. Which of the following was the direction of the acceleration on the ball?
1. The acceleration was inward along the radius of the circle.
2. The acceleration was outward along the radius of the circle.
3. The acceleration was tangent to the circle in the direction of the ball's motion.
4. The acceleration was perpendicular to both the ball's motion and the tabletop.
1. The acceleration was inward along the radius of the circle.
Sam is swinging a yo-yo around his head. What happens to the size of the centripetal acceleration if the mass of the yo-yo is doubled without changing the period or length of the string?
Remains the same
Increases
Decreases
Cannot be determined
1. Remains the same
Pearl the Joker whirls a 8.00 kg hammer tied to the end of a 1.3 m chain in a horizontal circle. The hammer makes one revolution in 2.0 s at a constant speed. What is the speed of the hammer around John?
4.084 m/s
A toy car is following a circular path with a constant speed of v=3 m/s . If the radius of the circular path is 1 m, find The centripetal acceleration of the car
9 m/s^2
A 250 kg motorcycle goes around a 20.0 m radius turn at 19.0 m/s. What is the centripetal force on the motorcycle?
4512.5 N
At the top of a roller-coaster loop, In what directions do gravity and the normal force point?
gravity: down, normal force: down
What relationship must exist between an applied force and the velocity of a moving object if uniform circular motion is to result?
F∝v
F∝1/v
F∝v^2
F∝2v
3. F∝v^2
A satellite spins around a planet. The only force exerted is gravity. If the velocity of the satellite is 10 m/s and is 100 meters away from the planet, what is the mass of the planet?
1.499 x 10^14
A car moves with a constant speed of 17 m/s on a circular track of 200 m radius. Calculate the acceleration of the vehicle.
1.45 m/s^2
What would happen to centripetal force if:
a) The mass of the object was tripled?
b) The radius of the object was doubled?
a) centripetal force triples
b) centripetal force halves
Akhila is riding on the merry-go-round at Woodbridge Mall and is moving with a speed of 2.00 m/s when she is 2.08 m from the center of the merry-go-round. Calculate Akhila’s centripetal acceleration.
1.923 m/s^2
What is the relationship between centripetal force and the mass of an object?
1. direct
2. inverse
3. exponential
4. inverse squared
1. direct
A 0.015 kg rubber stopper is attached to a 0.830 m length of string. The stopper is swung in a horizontal circle, making one revolution in 1.08 seconds. Find the velocity of the stopper.
4.82 m/s
A body of mass 10 kg, is moving with a velocity of 5 m/s in a circle of radius 5 m, what is the centripetal acceleration of the body?
5m/s^2
A 5.0 kg object moves in a circle at a constant speed of 10. m/s. What is the radius of the object's circular path if the object's centripetal force is 1000. N?
0.5 m
Two trucks each have a mass of 3000 kg. The gravitational force between the trucks is 4.00 × 10^-5 N. One truck is then loaded with 1000 kg of rock. What would be the new gravitational force between the two trucks? (G = universal gravitation constant = 6.67 10^-11 Nm2/kg2
5.32 × 10-5 N