The kinetic energy of the mass a maximum when (a) the spring is at its unweighted length (when it isn't stretched or compressed) .
What is Kinetic Energy ?
Kinetic energy is defined as the measure of the work that an object does when its in motion.
The total energy of the system of spring is equal to the kinetic energy of the mass (because spring has negligible mass) plus the elastic potential energy.
Since the above mentioned total energy is conserved, the kinetic energy is a maximum when the elastic potential energy is a minimum,
that occurs when the spring will be in its unweighted length , that means when it isn't stretched or compressed .
Therefore , the correct option is (a) .
The given question is incomplete , the complete question is
When is the kinetic energy of the mass a maximum?
(a) When the spring is at its unweighted length (when it isn't stretched or compressed)
(b) When the spring is most stretched
(c) When the spring is most compressed
(d) Both when the spring is most compressed and when the spring is most stretched .
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