Answer:
11121.19 kg
Explanation:
Given that,
the gravitational force between Earth and the telescope is [tex]9.21\times 10^4\ N[/tex]
Mass of the Earth is [tex]5.98\times 10^{24}\ kg[/tex]
The center of the Hubble space telescope is 6940 km from Earth’s center.
We know that, the force of gravity is given by the formula as follows :
[tex]F=\dfrac{GmM}{r^2}[/tex]
m is mass of telescope and M is mass of Earth
So,
[tex]m=\dfrac{Fr^2}{GM}\\\\m=\dfrac{9.21\times 10^4\times (6940\times 10^3)^2}{6.67\times 10^{-11}\times 5.98\times 10^{24}}\\\\m=11121.19\ kg[/tex]
So, the mass off the telescope is 11121.19 kg
