4 m 8 m A block of mass m slides down from rest on a rough incline of length 8m where the incline makes an angle of 30° with the horizontal. The block comes to rest on the rough horizontal surface after sliding for 4 m. The coefficient of kinetic friction on the incline is 0.30. The coefficient of kinetic friction on the horizontal 30° surface is different from the incline, find this value using two approaches: Using Newton's laws of motion and Kinematics and (i) (ii) Using Work-Kinetic Energy Theorem (Give answer to 2 sig. figs.)

4 m 8 m A block of mass m slides down from rest on a rough incline of length 8m where the incline makes an angle of 30° with the horizontal. The block comes to rest on the rough horizontal surface after sliding for 4 m. The coefficient of kinetic friction on the incline is 0.30. The coefficient of kinetic friction on the horizontal 30° surface is different from the incline, find this value using two approaches: Using Newton's laws of motion and Kinematics and (i) (ii) Using Work-Kinetic Energy Theorem (Give answer to 2 sig. figs.)

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

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.

Question

A block of mass m slides down from rest on a rough incline of
length 8m where the incline makes an angle of 30° with the
horizontal. The block comes to rest on the rough horizontal surface
after sliding for 4 m. The coefficient of kinetic friction on the
incline is 0.30. The coefficient of kinetic friction on the horizontal
surface is different from the incline, find this value using two approaches:
(i) Using Newton's laws of motion and Kinematics and
30⁰
(ii) Using Work-Kinetic Energy Theorem (Give answer to 2 sig. figs.)
4 m
8 m
WA

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Step 1: Determine the given variables.

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Step 2: Determine the realations between accelerations on the incline and horizontal using kinematics.

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Step 3: Determine the accelerations on the inclined and horizontal surface in terms of sought quantity

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Step 4: Determine the coefficient of friction on the horizontal

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Step 5: Determine the coefficient of friction using work energy theorem

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