Work relationship with energies

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SUMMARY

Work done (F.d) is equal to kinetic energy (K.E.), potential energy (P.E.), or both depending on the conditions of the system. Specifically, if potential energy (U) is zero and kinetic energy (T) is non-zero, then work (W) equals T. Conversely, if U is non-zero and T is zero, then W equals U. When both energies are present, W equals the sum of U and T. For example, raising a 1 kg ball to a height of 1 m results in a potential energy gain of 10 J, which converts to kinetic energy just before impact when dropped.

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  • Understanding of work-energy principle
  • Basic knowledge of kinetic and potential energy
  • Familiarity with gravitational force calculations
  • Ability to apply the equations of motion
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  • Learn about energy conservation in closed systems
  • Explore the effects of air resistance on falling objects
  • Investigate the relationship between height and potential energy
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Miraj Kayastha
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In which situation is Work done (F.d) equal to Kinetic energy, Potential energy and both kinetic & potential energy at the same time?
 
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If U=0 & T#0 then W=T
If U#0 & T=0 then W=U
If U=0 & T=0 then W=0
If U#0 & T#0 then W= U+T
 
Miraj Kayastha said:
In which situation is Work done (F.d) equal to Kinetic energy, Potential energy and both kinetic & potential energy at the same time?
If you raise a ball of 1Kg to a distance 1m,from 0 height(assume g as 10m/s and constant velocity)
then work done or potential energy gained is 10J.
If you then drop it form that height,(Air resistance and all other forces except gravity is negligible)
The kinetic energy it has,just before it hits the ground is equal to potential energy it had before(or work done on it before)
##E_k=\frac{mv^2}{2}##

If we throw the ball up,at it's height peak,potential energy is maximum.At its lowes height,Kinetic energy is maximum.In the middle,kinetic energy is equal to potential energy
 
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