(Instantaneous power and kinetic energy) Answer the following questions with proper…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

(Instantaneous power and kinetic energy) Answer the following questions with proper reasoning and mathematical steps wherever required. (i) Define instantaneous power for a mechanical system. (ii) Starting from suitable basic relations, establish that the instantaneous power delivered to a particle equals the time-rate of change of its kinetic energy, that is, P=dKdtP=\dfrac{\mathrm dK}{\mathrm dt}. (iii) Explain why the equality obtained in part (ii) holds even when the force acting on the particle varies with time as well as with position.

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