We can use the formula for the centrifugal force on a satellite to solve for its mass:
F' = (m * v^2) / r
Where F' is the centrifugal force, m is the mass of the satellite, v is the velocity of the satellite, and r is the distance between the center of the earth and the satellite, which is the sum of the radius of the earth and the altitude of the satellite.
r = R + h = 6400 + 1600 = 8000 km
Substituting the given values, we get:
3151 = (m * 7.1^2) / 8000
Solving for m, we get:
m = (3151 * 8000) / (7.1^2)
m ≈ 2.64 x 10^3 kg
Therefore, the mass of the satellite is approximately 2.64 x 10^3 kg.