Answer:

Explanation:
According to the law of the conservation of energy, the gravitational potential energy of the physical system will be converted into rotational kinetic energy. So, we have:

Is the moment of inertia of the system, that is the sum of the moments of inertia of the disk and the small object.

Answer: The diameter of 57 um is equal to 5.7*10^-5 in meter.
Explanation: 1 micrometer is equal to 1*10^-6 meters.
We use this conversion to get the answer, we that 57 and we multiply it by 1*10^-6
Use this formula where:
∝ is the average distance between the centers of the two bodies
G is the gravitational constant
M1 and M2 are masses of the parent body and the orbiting body respectively.