2. A ro ler coaster car travels around a vertical loop. At the top of the loop, where it is upside down, it is moving at a speed of 10 m/s. Given that the loop has a radius of 8.0 m, a) What is the value of the car's centripetal acceleration at that instant in time? b) A 55 kg passenger is in the car. Draw a free-body diagram showing all the forces acting on the passenger. What is the magnitude of the normal force of the car acting on the passenger? c)

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter6: Motion In Two Dimensions
Section6.2: Circular Motion
Problem 13PP
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the stuffed bear. Assuming negligible air resistance, how far horizontally from the base of the Ferris
wheel does the bear land on the ground?
2.
A roller coaster car travels around a vertical loop. At the top of the loop, where it isupside down,t is
moving at a speed of 10 m/s. Given that the loop has a radius of 8.0 m,
What is the value of the cars centripetal acceleration at that instant in time?
A 55 kg passenger is in the car. Draw a free-body diagram showing all the forces acting on the
a
b)
passenger.
c)
What is the magnitude of the normal force of the car acting on the passenger?
3.
A car travels over the top of a hill. Suppose that the radius of curvature at the top of the hill is 9.0 m.
What is the maximum speed that the car can travel at the top of the hill without losing contact with
the ground?Hint: consider the vertical forces on the car at the top of the hill. The sum of forces must
be equal to its mass times acceleration. At what minimum speed will the normal force of the hill on
the car be zero?
4.
An archer fires an arrow from a bow. The arrow's mass is 0.082 kg, and an average force of
120 N is exerted by the bowstring over a 0.78 m distance. Calculate the velocity of the arrow
Transcribed Image Text:the stuffed bear. Assuming negligible air resistance, how far horizontally from the base of the Ferris wheel does the bear land on the ground? 2. A roller coaster car travels around a vertical loop. At the top of the loop, where it isupside down,t is moving at a speed of 10 m/s. Given that the loop has a radius of 8.0 m, What is the value of the cars centripetal acceleration at that instant in time? A 55 kg passenger is in the car. Draw a free-body diagram showing all the forces acting on the a b) passenger. c) What is the magnitude of the normal force of the car acting on the passenger? 3. A car travels over the top of a hill. Suppose that the radius of curvature at the top of the hill is 9.0 m. What is the maximum speed that the car can travel at the top of the hill without losing contact with the ground?Hint: consider the vertical forces on the car at the top of the hill. The sum of forces must be equal to its mass times acceleration. At what minimum speed will the normal force of the hill on the car be zero? 4. An archer fires an arrow from a bow. The arrow's mass is 0.082 kg, and an average force of 120 N is exerted by the bowstring over a 0.78 m distance. Calculate the velocity of the arrow
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