First slide

Conservation of mechanical energy

Question

A particle with the total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when

Moderate

A

U(x)<E
B

U(x) =0
C

U(x) $\leq$ E
D

U(x)>E

Solution

total energy TE =KE+PE
consider a body dropped from a height h,
at the dropped point , TE=PE
at the point where the body reaches the surface, TE=KE, here PE =0
hence $P E \leq T E \Rightarrow U (x) \leq E$

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