What is the energy lost to friction?

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Homework Help Overview

The problem involves a block being dragged over a horizontal surface with a specified force and angle, requiring the calculation of energy lost to friction. The subject area includes concepts of work, friction, and forces in physics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between work done by friction and energy lost, with one participant questioning the use of angles in their calculations. There is an emphasis on understanding the components of forces involved.

Discussion Status

The discussion is ongoing, with participants providing insights into the calculations and questioning the assumptions made about angles and forces. Some guidance has been offered regarding the normal force and its relationship to gravity.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information they can share or the methods they can use. There is a noted urgency in resolving the problem.

Kumar9
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The question is: A 15.7 kg block is dragged over a horizontal surface by a 68.7N force acting 17 degrees to the horizontal. The block is displaced 4.65m, and the kinetic friction coefficient is 0.3. What is the energy lost to friction?

My thinking is that it would be equal to the negative work done by the frictional force (E taken out of the system), but the computer does not recognize this as correct. What am I missing?
 
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I need to have this figured out soon; if someone could help I would greatly appreciate it.
 
Kumar9 said:
The question is: A 15.7 kg block is dragged over a horizontal surface by a 68.7N force acting 17 degrees to the horizontal. The block is displaced 4.65m, and the kinetic friction coefficient is 0.3. What is the energy lost to friction?
My thinking is that it would be equal to the negative work done by the frictional force (E taken out of the system), but the computer does not recognize this as correct. What am I missing?
Show us your work. We can't help you otherwise. What is the force of friction?

AM
 
This is what I have so far:
W=(mgUk)(d)cos180
Where Uk is the coefficient. Plugging in the appropriate values, I get a value of ~-215 J, the E lost due to friction. It seems right, but clearly I'm missing something.
 
Kumar9 said:
This is what I have so far:
W=(mgUk)(d)cos180
Where Uk is the coefficient. Plugging in the appropriate values, I get a value of ~-215 J, the E lost due to friction. It seems right, but clearly I'm missing something.
I don't understand why you are using 180 degrees. The angle is 17 degrees from horizontal. The normal force perpendicular to the surface is equal and opposite to the component of gravity in that direction. What is the magnitude of that component of gravity? (Hint it is a little less than the weight).

AM
 

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