The center of the hubble space telescope is 6940 km from earth’s center. if the gravitational force between earth and the telescope is 9.21 × 104 n, and the mass of earth is 5.98 × 1024 kg, what is the mass of the telescope? round the answer to the nearest whole number.

The gravitational force between two objects is given by:

where
G is the gravitational constant
m1 and m2 are the masses of the two objects
r is the separation between the two objects

The distance of the telescope from the Earth's center is , the gravitational force is  and the mass of the Earth is , therefore we can rearrange the previous equation to find m2, the mass of the telescope: