Doubt: Basic question on Work-Energy Method?

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SUMMARY

The work-energy method can be applied to both a body sliding down an inclined plane and a body falling vertically. In both scenarios, the work done equals the change in kinetic energy (KE) when considering the work done by all forces, including gravity. For the inclined plane, while the height changes, the work-energy theorem indicates that the total work done can be expressed as the change in KE plus the change in potential energy (PE). Therefore, when analyzing these problems, it is crucial to account for both KE and PE to fully understand the energy transformations involved.

PREREQUISITES
  • Understanding of the work-energy theorem
  • Basic knowledge of kinetic energy (KE) and potential energy (PE)
  • Familiarity with forces acting on objects, particularly gravitational force
  • Ability to analyze motion on inclined planes
NEXT STEPS
  • Study the work-energy theorem in detail, focusing on its applications in various scenarios
  • Learn about energy conservation principles in mechanics
  • Explore problems involving inclined planes and vertical motion to practice applying the work-energy method
  • Investigate the role of gravitational force in energy transformations during motion
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in understanding the principles of energy conservation and motion analysis.

dexter1
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I have a basic doubt on application of work energy method,

1. Can I apply work-energy method (i.e. work done equals to change in kinetic energy(KE)) for a body sliding down the inclined plane? If yes, while solving the problem i should use only change in KE or sum of change in KE & PE(potential energy), as heigh of the body is changing while sliding down? I am pretty confused kindly explain in detail..

2. What if in case of a a body vertically moving down/falling? In this case, it should be KE only or PE only or Sum of KE&PE? and Why?

I referred some books and while solving any of the above problems, they used work done = change in kinetic energy, i am confused why they are not considering PE in these situations?

Kindly reply ASAP, need a clear explanation...Many thanks in advance...
 
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dexter1 said:
I have a basic doubt on application of work energy method,

1. Can I apply work-energy method (i.e. work done equals to change in kinetic energy(KE)) for a body sliding down the inclined plane? If yes, while solving the problem i should use only change in KE or sum of change in KE & PE(potential energy), as heigh of the body is changing while sliding down? I am pretty confused kindly explain in detail..
Yes you can apply it. See my comment below.

2. What if in case of a a body vertically moving down/falling? In this case, it should be KE only or PE only or Sum of KE&PE? and Why?
Again, see my comment below.

I referred some books and while solving any of the above problems, they used work done = change in kinetic energy, i am confused why they are not considering PE in these situations?
The work-energy theorem says that if you consider the work done by all forces (including gravity) it will equal the change in the kinetic energy (not total energy). And that's just what happens.

If you consider the work done by all forces except gravity, then the work done will equal ΔK + ΔU. (The work done by gravity is already included in the potential energy term.)
 

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