An exoplanet Y has the same surface acceleration due to gravity as Earth (9.8ms−2) but its radius is 1.5 times that of Earth.
(i) Determine the mass of exoplanet Y in terms of Earth’s mass.
(ii) Calculate the escape velocity from the surface of exoplanet Y.
(iii) A 100kg astronaut stands on Earth and then on exoplanet Y. Compare the astronaut’s weight on the two bodies and explain your result.