Final answer:
To find the mass of the satellite, we can use Newton's law of universal gravitation to calculate the force of gravitational attraction between the satellite and the Earth based on the given values. We can then rearrange the formula to solve for the mass of the satellite.
Step-by-step explanation:
To find the mass of the satellite, we can use Newton's law of universal gravitation. The formula is:
F = (G * m1 * m2) / r^2
Where F is the force of gravitational attraction between two objects, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass. In this case, we know the force of attraction (470 N) and the distance (1850 km + 6.38 x 106 m), and we are looking for the mass of the satellite. Rearranging the formula, we have:
m2 = (F * r^2) / (G * m1)
Substituting the given values, we get:
m2 = (470 N * (1850 km + 6.38 x 106 m)^2) / (6.6743 x 10^-11 Nm^2 / kg^2 * 5.97 x 10^24 kg)
Calculating this expression will give us the mass of the satellite.