Final answer:
The gravitational force between a satellite and Earth can be calculated using Newton's law of gravitation: F = (G * m1 * m2) / r^2. Given the mass of the satellite and Earth, as well as the distance between them, we can plug these values into the formula to find the gravitational force.
Step-by-step explanation:
The gravitational force between two objects can be calculated using Newton's law of gravitation. The formula is:
F = (G * m1 * m2) / r^2
Where F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.
In this case, the mass of the satellite is 4500 kg. Since the satellite is orbiting Earth, the mass of Earth (m2) is 5.97 x 10^24 kg. The average radius of Earth is 6.38 x 10^6 m.
Substituting these values into the formula:
F = (6.67 x 10^-11 Nm^2/kg^2 * 4500 kg * 5.97 x 10^24 kg) / (6.38 x 10^6 m)^2
Calculating this expression gives:
F ≈ 6.67 x 10^5 N