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 nonconservative forces, which of the following equations applies to the object-spring system?

A. KE + PE = constant
B. KEmax = PEmax

Explanation / Answer

spring potential energy and kinetic energy are CONSERVATIVE in nature.

so , the total energy remains constant for the system.

so , at the point where we attain maximum spring potential energy we have ZERO kinetic energy and vice versa.

therefore , both are right

A. KE + PE = constant
B. KEmax = PEmax

so , answer is A AND B

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