1. A car of mass M goes over a semi-circular hill of radius R. At the time shown the car has a speed v, and is speeding up at a rate g/3 which is larger than g sin 0. Assume the car does not lose contact with the ground. +x a. Draw the free body diagram showing the forces acting on the car. b. Write out Newton's 2nd law in the x and y directions as shown using the names of the forces in the FBD, and vo, R, 0, and/or g. Use the coordinate system shown. X: y: c. What is the normal force acting on the car in terms of M,0, vo, R, and/or g? d. What is the friction force acting on the car? e. How fast would the car have to be traveling at if it just lost contact with the ground at the point shown? II

1. A car of mass M goes over a semi-circular hill of radius R. At the time shown the car has a speed v, and is speeding up at a rate g/3 which is larger than g sin 0. Assume the car does not lose contact with the ground. +x a. Draw the free body diagram showing the forces acting on the car. b. Write out Newton's 2nd law in the x and y directions as shown using the names of the forces in the FBD, and vo, R, 0, and/or g. Use the coordinate system shown. X: y: c. What is the normal force acting on the car in terms of M,0, vo, R, and/or g? d. What is the friction force acting on the car? e. How fast would the car have to be traveling at if it just lost contact with the ground at the point shown? II

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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Question

1. A car of mass M goes over a semi-circular hill
of radius R. At the time shown the car has a
speed v, and is speeding up at a rate g/3
which is larger than g sin . Assume the car
does not lose contact with the ground.
+x
a. Draw the free body diagram showing
the forces acting on the car.
b. Write out Newton's 2nd law in the x and y directions as shown using the
names of the forces in the FBD, and vo, R, 0, and/or g. Use the coordinate
system shown.
X:
y:
c. What is the normal force acting on the car in terms of M,0, vo, R, and/or g?
d. What is the friction force acting on the car?
e. How fast would the car have to be traveling at if it just lost contact with the ground at the point shown?

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