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Problem 3 – Inclined plane and friction A toy car with mass m = 1kg is initially at rest on top of an inclined plane at a height h = 9.8 m. The inclined plane forms an angle 9 = 45° with respect to the horizontal plane. (a) Draw the free-body diagram for this problem. Find the minimum value of the coefficient of static friction %3! Hs such that the toy car does not slide along the inclined plane under the effect of gravity. (b) Assume now that the toy car is sliding along the inclined plane and that the coefficient of kinetic friction is Hk1 = 0.5. Find the velocity of the car at the bottom of the inclined plane (h = 0). (c) After reaching the bottom of the inclined plane, the car keeps on moving along an horizontal plane with coefficient of kinetic friction µ2 = 0.4. Find the distance the toy car travels along the horizontal plane until it comes to a complete stop. %3!

Problem 3 – Inclined plane and friction A toy car with mass m = 1kg is initially at rest on top of an inclined plane at a height h = 9.8 m. The inclined plane forms an angle 9 = 45° with respect to the horizontal plane. (a) Draw the free-body diagram for this problem. Find the minimum value of the coefficient of static friction %3! Hs such that the toy car does not slide along the inclined plane under the effect of gravity. (b) Assume now that the toy car is sliding along the inclined plane and that the coefficient of kinetic friction is Hk1 = 0.5. Find the velocity of the car at the bottom of the inclined plane (h = 0). (c) After reaching the bottom of the inclined plane, the car keeps on moving along an horizontal plane with coefficient of kinetic friction µ2 = 0.4. Find the distance the toy car travels along the horizontal plane until it comes to a complete stop. %3!

College Physics
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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Problem 3 – Inclined plane and friction A toy car with mass m = 1kg is initially at rest on top of an inclined plane at a height h = 9.8 m. The inclined plane forms an angle 9 = 45° with respect to the horizontal plane. (a) Draw the free-body diagram for this problem. Find the minimum value of the coefficient of static friction u, such that the toy car does not slide along the inclined plane under the effect of gravity. (b) Assume now that the toy car is sliding along the inclined plane and that the coefficient of kinetic friction is Hk1 = 0.5. Find the velocity of the car at the bottom of the inclined plane (h = 0). (c) After reaching the bottom of the inclined plane, the car keeps on moving along an horizontal plane with coefficient of kinetic friction uk2 = 0.4. Find the distance the toy car travels along the horizontal plane until it comes to a complete stop.
Transcribed Image Text:Problem 3 – Inclined plane and friction A toy car with mass m = 1kg is initially at rest on top of an inclined plane at a height h = 9.8 m. The inclined plane forms an angle 9 = 45° with respect to the horizontal plane. (a) Draw the free-body diagram for this problem. Find the minimum value of the coefficient of static friction u, such that the toy car does not slide along the inclined plane under the effect of gravity. (b) Assume now that the toy car is sliding along the inclined plane and that the coefficient of kinetic friction is Hk1 = 0.5. Find the velocity of the car at the bottom of the inclined plane (h = 0). (c) After reaching the bottom of the inclined plane, the car keeps on moving along an horizontal plane with coefficient of kinetic friction uk2 = 0.4. Find the distance the toy car travels along the horizontal plane until it comes to a complete stop.
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