Finding Friction Force & Work with No Applied Force

AI Thread Summary
The discussion revolves around calculating the friction force and work done on a box moving at constant velocity. The normal force is determined to be 147 N, with the friction force calculated at 99.96 N, resulting in work done by friction of -799.68 J. Since the box moves at constant velocity, the applied force must equal the friction force, meaning the work done by the applied force is also 799.68 J. It is clarified that the work done cannot exceed this amount, as that would imply a gain in kinetic energy. The final conclusion is that 799.68 J of work is necessary to push the box across a horizontal surface at constant velocity.
kara123
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Homework Statement
How much work is done by pushing a 15 kg box at a constant velocity across a horizontal floor with a coefficient of friction of 0.68 for a distance of 8.0 m?
Relevant Equations
Ff=coefficent of friction x FN
FN=mg
W=fxd
-i had begun by finding the normal force =147 N
-then found the force of friction=99.96 N
-found the work of friction=-799.68 J
after that I am unsure of where to go since I don't have a force applied
 
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What can you say about the applied force?

Hint: you are told velocity is constant.
 
would it be zero since acceleration is zero
 
kara123 said:
would it be zero since acceleration is zero
Acceleration is zero, but there's friction to overcome!
 
so since work of friction equals -799.68 J then work applied must equal 799.68 J or excel it?
 
kara123 said:
so since work of friction equals -799.68 J then work applied must equal 799.68 J or excel it?
It can't exceed it, as then the box would have gained KE.
 
okay so the answer would be 799.68 J of work is done by pushing a 15kg box across a horizontal floor at a constant velocity
 
Yes, except you don't have data to five decimal places.
 
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got it thank you!
 
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