Very quick question regarding work and kinetic energy

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SUMMARY

The discussion centers on calculating the change in kinetic energy using the work-energy principle, specifically the equation Wnet = change in KE. The user correctly identifies that the work done by the applied force (Fd) must be adjusted by the work done by friction, which is negative. The conclusion is that the total work can be calculated by numerically adding the work done by the applied force and the frictional work, effectively subtracting the latter from the former to find the net work contributing to the change in kinetic energy.

PREREQUISITES
  • Understanding of the work-energy principle
  • Basic knowledge of forces and motion
  • Familiarity with calculating work done (W = Fd)
  • Concept of kinetic energy and its relation to work
NEXT STEPS
  • Study the work-energy theorem in detail
  • Explore examples involving frictional forces in mechanics
  • Learn about energy conservation in different physical systems
  • Investigate applications of the work-energy principle in electrical circuits, such as capacitors
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Students studying physics, particularly those focusing on mechanics and energy concepts, as well as educators looking for clear explanations of the work-energy relationship.

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Homework Statement


The question gave a force applied on a block as well as a distance. It also gave the work done by friction which was negative. The question was to find the change in kinetic energy.

Homework Equations


Wnet = change in KE

The Attempt at a Solution


I found the work done by the applied force which is just Fd. Frictional force was already given. My question is do I simply add the 2 works (essentially subtracting from the work done by the applied force) or do I add the absolute value of both?
 
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In questions such as this using this is helpful to think

Energy given (Fd) = energy gained(change in kinetic or potential energy ) + energy lost as heat( in this case absolute value of work by friction)

Now this question is really simple so you can just calculate the total Work by numerically adding Work done by Applied force and friction (essentially subtracting), and then equating to change in K.E, But there are problems (For Example related to capacitors) where thinking like this is very intuitive and fast.
 

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