For a certain planet the acceleration due to gravity at the surface is

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

9.0\,\text{m/s}^2

. At an altitude of

5.0\times10^{5}\,\text{m}

above the surface it is measured to be

7.6\,\text{m/s}^2

. Take

G = 6.67\times10^{-11}\,\text{N m}^2\text{/kg}^2

. (i) Determine the radius of the planet. (ii) Hence calculate the mass of the planet.