Answer
When the cockroach moved to the new position, the force exerted by the cockroach did positive work on the system which increased the kinetic energy in the system.
Work Step by Step
In part (b), we found that the ratio of the new rotational kinetic energy to the initial rotational kinetic energy is $~~\frac{4}{3}$
When the cockroach moved to the new position, the force exerted by the cockroach did positive work on the system which increased the kinetic energy in the system.
