In the figure, three 0.03 kg particles havebeen glued to a rod of length L= 9 cm and negligible mass and can rotate around aperpendicular axis through point O at one end. How much work isrequired to change the rotational rate (a)from 0 to 20.0 rad/s, (b)from 20.0 rad/s to 40.0 rad/s, and(c) from 40.0 rad/s to 60.0rad/s? (d) What is theslope of a plot of the assembly's kinetic energy (in joules) versusthe square of its rotation rate (in radians-squared persecond-squared)?