For a newly discovered planet

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

Problem

For a newly discovered planet, the following data were recorded: – Mass of the planet

=4.0\times10^{24}\,\text{kg}

– Radius of the planet

=6.0\times10^{6}\,\text{m}

– Measured surface acceleration due to gravity

=11.2\,\text{m/s}^2

(i) Determine the numerical value of the universal gravitational constant

G

using these observations. (ii) The accepted value of

G

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

. Calculate the percentage error in the value obtained in part (i).