(Originais Teachy 2023) - Question Hard of Physics

An astronaut on a space mission needs to calculate the acceleration of gravity on a small asteroid he is exploring. The small asteroid has a mass of 3.5 x 10^10 kg and a radius of 2.5 km. Using Newton's Universal Law of Gravitation, the astronaut wants to determine the acceleration of gravity on the surface of this asteroid, knowing that the gravitational constant G is 6.674 x 10^-11 N m^2/kg^2. After performing the calculation, he compares the acceleration found with that of Earth and observes that the acceleration of gravity on Earth at a distance that is twice the radius of Earth is different from the acceleration he calculated for the asteroid. Considering that the acceleration of gravity on the surface of Earth is 9.8 m/s^2 and the radius of Earth is 6.371 x 10^6 m, determine: 1) The acceleration of gravity on the surface of the small asteroid. 2) The acceleration of gravity on Earth at a distance that is twice the Earth's radius, and explain why it is different from the calculated acceleration on the asteroid.