How Does Friction Affect the Final Speed of a Crate?

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Homework Help Overview

The discussion revolves around a physics problem involving a crate being pulled across a surface with varying friction conditions. The subject area includes concepts of energy conservation, work-energy theorem, and the effects of friction on motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the application of energy conservation principles and the work-energy theorem. Questions arise regarding the conservation of energy in the presence of friction and external forces. Some participants attempt to isolate variables related to kinetic energy and question the correctness of their approaches.

Discussion Status

The discussion is active, with participants providing guidance on considering the work done by forces and clarifying the conditions under which energy is conserved. Multiple interpretations of the problem are being explored, particularly regarding the role of friction and external forces.

Contextual Notes

Participants note that the crate moves across a horizontal floor, and there is a distinction between the first frictionless segment and the subsequent segment with friction. The assumption of gravitational potential energy being constant is also mentioned.

smbascug
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A 60.0 kg crate, starting from rest, is pulled across the floor with a constant force of 100.0 N. For the first 10.0 m the floor is frictionless and for the next 10.0 m the coefficient of friction is 0.20. What is the final speed of the crate?

Is it possible to use KE + PE = KE + PE
1/2mv^2 + mgh = 1/2mv^2 + mgh
 
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No, since energy is not conserved. Instead, consider the work done by the applied forces. (The work-energy theorem.)
 
How can you tell if energy is coserved or not?
 
smbascug said:
How can you tell if energy is coserved or not?

Work is done, both by the puller and the frictional force. The friction generates heat, which certainly tells us that energy is not conserved.
 
smbascug said:
How can you tell if energy is coserved or not?
Mechanical energy is conserved if the only forces acting are conservative forces, like gravity. As Captain Zapp0 points out, here we have additional forces acting: the applied force and the friction. These forces do work on the object, changing its kinetic energy.

If you attempted to use the conservation equation you quoted, you'll quickly find that it gets you nowhere since the gravitational PE doesn't change. (We assume that the crate is moving across a horizontal floor.)
 
m=60.0kg u=0.20
F= 100.0 N
d1==10.0m

KE(final) - KE(initial)
1/2mv^2 - 1/2mv^2

umm... how do i isolate v? or is this even correct?
 
Not clear what you've done.

Find the work done by the forces during the first 10m and the second 10m. The total work done will equal the change in the crate's KE.
 

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