Two Earth satellites, A and B, each of mass m = 940 kg , are launched into circular orbits around the Earth's center. Satellite A orbits at an altitude of 4500 km , and satellite B orbits at an altitude of 11100 km . c) How much work would it require to change the orbit of satellite A to match that of satellite B?

The required work done is

Explanation:

Given that,

Mass of each satellites = 940 kg

Altitude of A = 4500 km

Altitude of B = 11100 km

We need to calculate the potential energy

Using formula of potential

Put the value into the formula

We need to calculate the potential energy

Using formula of potential

Put the value into the formula

We need to calculate the value of

Using formula of

Put the value into the formula

We need to calculate the value of

Using formula of

Put the value into the formula

We need to calculate the work done

Using formula of work done

Put the value into the formula

Hence, The required work done is