Question

Calculate the weight of an astronaut of mass 66 kg on the surface of the earth and on the surface of the moon. Also calculate the ratio of mass of astronaut on the surface of the earth and on the surface of the moon. Given that acceleration due to gravity on the surface of moon is one-sixth of that on the earth.

An astronaut named Alex is exploring a newly discovered planet, Xylon, which has a mass of 5 × 10²⁴ kg and a radius of 6,400 km. Alex, with a mass of 80 kg, is on the surface of Planet Xylon. The planet is unique because it has only one-sixth of the density of Earth but the same surface gravity.

How does the weight of an object vary with respect to mass and radius of the earth. In a hypothetical case, if the diameter of the earth becomes half of its present value and its mass becomes four times of its present value, then how would the weight of any object on the surface of the earth be affected?