The kinetic energy of an object attached to a horizontal ideal spring is denoted

Question

The kinetic energy of an object attached to a horizontal ideal spring is denoted by KE and the elastic potential energy by PE. For the simple harmonic motion of this object the maximum kinetic energy and the maximum elastic potential energy during an oscillation cycle are KEmax and PEmax, respectively. In the absence of friction, air resistance, and any other non-conservative forces, which of the following equations applies to the object-spring system?
(A) KE + PE = constant
(B) KEmax = PEmax

The answer choices are A......B......both A, and B, and neither A nor B.

Explanation / Answer

PE + KE = constant at all points of the motion

a)Both applies at the same time
as KEmax=PE max
PE+KE=constant=KE,ax=PEmax
both applies to the simple harmonic system

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