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Q. A particle with total energy $E$ is moving in a potential energy region $U_{(x)}$. Motion of the particle is restricted to the region when

NEETNEET 2013Work, Energy and Power

Solution:

Total Energy = Potential Energy $+$ Kinetic Energy
$E = U ( X )+ KE ( X )$
or $E-U(X)=K E(X)$
If the particle is moving kinetic energy must be positive or $KE ( X )>0$ then $E - V ( X )= KE ( X )>0$
$E > U ( X )$ or $U ( X )< E$