Explanation Given: Angle of inclination, θ = 34 o Formula used: From Newton’s second law of motion: ∑ F = m a Where, m is the mass and a is the acceleration. Third equation of motion is: V 2 = V o 2 + 2 a d Where, V is the final velocity, V o is the initial velocity, a is the acceleration and d is the displacement. Component of weight along the inclined plane is m g sin θ . Component of the weight perpendicular to the inclined plane is m g cos θ . Frictional force is: f = μ N μ is the coefficient of friction and N is the normal reaction force. N = m g cos θ Calculation: For frictionless inclined plane: m g sin θ = m a a = g sin θ V 2 = V o 2 + 2 a d V 2 = 0 + 2 ( g sin θ ) ( d ) V 2 = 2 ( g sin θ ) ( d ) − − − − − − − − ( 1 ) For the inclined plane with friction: m g sin θ − μ k m g cos θ = m a a = g sin θ − μ k g

7th Edition

ISBN: 2818440037979

Author: GIANCOLI

Publisher: PEARSON

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Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

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Chapter 4, Problem 66P

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The coefficient of kinetic friction between the slide and the child.

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Chapter 4, Problem 65P

Chapter 4, Problem 67P

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