Why Potential Energy is Negative of Work Done? (Derivation of Potential Energy)

[@TheScienceCube]

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[@JioHotstarTelegu]

Wow ...nice explanation sir ❤

[@TheScienceCube]

So glad you liked it :) I'm always interested in knowing what specific things students like so that I can do more of it in my next video. Can you tell me one or two things that you really liked.

[@uttamvashishtha1272]

Thank you so much sir 👍👍👍👍👍

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[@Sharanya386]

3:36 sir could you please explain how and why w= u1-u2?

[@TheScienceCube]

Sharanya, you may need to read this properly and watch this lesson as well kzbin.info/www/bejne/r3enqHmEgd6Niq8 The Work-Kinetic Energy Theorem tells us that the work done on an object equals the change in its kinetic energy or W = ΔKE. According to the Law of Conservation of Energy, the total energy (kinetic + potential) in a system remains constant. So, if we express this law, it looks like: K₁ + U₁ = K₂ + U₂, where K represents kinetic energy and U represents potential energy at initial (1) and final (2) states. If we rearrange the equation focusing on the change in kinetic energy, we get: K₂ - K₁ = U₁ - U₂. This equation shows the relationship between the change in kinetic and potential energies. Now, replacing ΔK (which is K₂ - K₁ ) with (U₁ - U₂) in the Work-Kinetic Energy Theorem (W = ΔKE), we get: W = -ΔU = U₁ - U₂. This essentially means the work done is equal to the negative change in potential energy, illustrating how energy transitions between kinetic and potential forms within a system.

[@Sharanya386]

yes sir got it. thank you very much. Your animated videos are quite informative please keep making more of it!@@TheScienceCube

[@TheScienceCube]

@@Sharanya386 Glad to know! Please do share this channel with your friends, that will be great help :) Best wishes