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?
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?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please do 3 only
Transcribed Image Text: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 car's centripetal acceleration at that instant in time?
a
b)
A 55 kg passenger is in the car. Draw a free-body diagram showing all the forces acting on the
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
just after it is released by the bowstring by two methods:
a) Calculate the arrow's acceleration that is caused by the bowstring, and use the
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