When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of μN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 30° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction μ = 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec² mg sin 30° x(t) mg cos 30° x(0)=0

When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of μN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 30° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction μ = 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec² mg sin 30° x(t) mg cos 30° x(0)=0

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Description: When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude ofμN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies tothe object. S

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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Concept explainers

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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Question

When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of
μN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to
the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 30° to the
horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction
μ = 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is
8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity
is 9.81 m/sec².
Determine the equation of motion for the object as it slides down the plane.
x(t) =
...
30°
mg sin 30°
mg
AN
mg cos 30°
x(0) = 0

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