Here is a problem that beautifully illustrates why we want this new approach. Problem: A mass of 3 kg is placed on a 600 that has a coefficient of 0.2. (Since the mass will be moving this is kinetic friction…) What is the resulting acceleration of the mass? The mass will then travel down the incline for 0.5 m until it reaches the bottom of the incline. How fast will the mass be traveling at the bottom of the incline? The mass will then slide across the floor (which is level). How far will it slide before coming to rest? Newtonian Approach – Do a freebody diagram. Analyze the forces. Sum the forces to find the acceleration. Use the notion of the DOT PRODUCT that Work = F o d Energy Approach – The above was soooo last chapter…. Find the energy initially, find the energy at the bottom of the incline. Use

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 53P: Show that the acceleration of any object down an incline where friction behaves simply (that Is,...
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Here is a problem that beautifully illustrates why we want this new
approach.
Problem: A mass of 3 kg is placed on a 600
that has a coefficient of 0.2.
(Since the mass will be moving this is kinetic friction…) What is the resulting
acceleration of the mass? The mass will then travel down the incline for 0.5
m until it reaches the bottom of the incline. How fast will the mass be
traveling at the bottom of the incline? The mass will then slide across the
floor (which is level). How far will it slide before coming to rest?
Newtonian Approach – Do a freebody diagram. Analyze the forces. Sum
the forces to find the acceleration. Use the notion of the DOT PRODUCT
that
Work = F o d
Energy Approach – The above was soooo last chapter….
Find the energy initially, find the energy at the bottom of the incline. Use
the definition of work given above and realize that frictional losses are
responsible for any loss of energy…

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