Question

A particle with total energy E is moving in a potential energy region U(x).

Answer 1

Answer:

Explanation: total energy(E)=kinetic energy +potential energy

E= KE +U(x)

if particle is moving then potential energy is not negative

so U(x) < E or =E

Answer 2

The total energy must be greater  than P.E. as K.E can't be negative.

Explanation:

Given that,

Total energy = E

Potential energy = U(x)

Suppose, motion of the particle is restricted to the region when?

We need to calculate the total energy

Using formula of total energy

$T.E=U(x)+K.E$

$T.E-U(x)=K.E$

If the particle is moving, kinetic energy must be positive

$K.E>0$

Then, E-U(x)=K.E(x)>0

E>U(x)

U(x)<E

Hence, The total energy must be greater  than P.E. as K.E can't be negative.

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Topic : total energy

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