A newly discovered exoplanet P is observed with a mean radius of

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

Problem

A newly discovered exoplanet P is observed with a mean radius of 7.0×106 m7.0\times10^{6}\,\text{m}. Astronomers estimate that the acceleration due to gravity on its surface is 12 m/s212\,\text{m/s}^2. Using these data: (a) Find the mass of planet P. (b) Calculate the average density of the planet, assuming it is a uniform sphere. (c) Compare the density obtained in part (b) with Earth’s mean density 5.52×103 kg/m35.52\times10^{3}\,\text{kg/m}^3 and state whether planet P is more or less dense than Earth, giving the ratio of the two densities.

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