Answer:

Step-by-step explanation:
Given:
- spring constant,

- mass of the block attached,

- damping constant,

- amplitude of oscillation,

Now the frequency of damped oscillation is given as:



Now time period of one oscillation:



We know the equation of motion for the damped harmonic motion of a mass attached to a spring is given as:
........................(1)
From above we find the position of the mass:

is the position after 1 cycle.
So, the Kinetic energy can be given as:


