Answer:
The acceleration due to gravity felt by an object in orbit around the Earth can be calculated using the formula:
a = G * M / r^2
where G is the gravitational constant (6.67 × 10^-11 m^3 kg^-1 s^-2), M is the mass of the Earth (6.0 x 10^24 kg), and r is the distance between the object and the center of the Earth.
For an object in an orbit of about 110 km, we have:
r = 6,400 km + 110 km = 6,510 km = 6.51 x 10^6 m
Substituting into the formula:
a = 6.67 × 10^-11 * 6.0 x 10^24 / (6.51 x 10^6)^2
a = 9.80 m/s^2
So the rocket in an orbit of about 110 km would experience an acceleration due to gravity of approximately 9.8 m/s^2.