Download Name Centripetal motion Practice Quiz 1. A 1230 kg car drives at a

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Centripetal motion Practice Quiz
1. A 1230 kg car drives at a constant speed of 25 m/s around a flat curve with a radius of 60 m without sliding or
skidding.
A. What is the linear acceleration, a, of the car? Explain.
B. What is the centripetal acceleration of the car? Show work.
C. What force causes the centripetal acceleration?
D. Calculate the centripetal force acting on the car.
E. What is the normal force of the car?
F. What is the coefficient of friction between the road and the tires?
2. A 0.8 kg marble is swung on the end of a string in a flat horizontal circle of radius .5 m at a constant angular velocity
of 13rad/s.
A. Calculate the centripetal acceleration of the marble.
B. What force causes the centripetal acceleration?
C. Calculate the tension force in the string.
D. If the string will break when the tension force exceeds 90 N, find the maximum speed it can be swung at without
breaking.
3. A roller coaster designer wants to put a vertical loop of 30. m in a ride. The maximum load of the rollercoaster cars
will be 1400 kg.
A. Draw a free body diagram of the car at the top of the loop.
B. What forces provide the centripetal force at this point?
C. What is the minimum velocity required for the rollercoaster in order for it to make it around the loop without the car
or people falling downward?
D. As a safety margin, the designer plans to make the rollercoaster go at twice the critical speed (twice as fast as you
just calculated). At that speed, calculate the centripetal force on the rollercoaster.
E. At that safer speed, calculate the normal force the track needs to provide at the highest point.
F. At that safer speed, calculate the normal force the track needs to provide at the highest point.