Acceleration Due to Gravity Video Lessons

Concept

# Problem: A hypothetical planet has a radius 1.9 times that of Earth, but has the same mass. What is the acceleration due to gravity near the surface?

###### FREE Expert Solution

Acceleration due to gravity on earth:

$\overline{){\mathbf{g}}{\mathbf{=}}\frac{\mathbf{G}\mathbf{M}}{{\mathbf{R}}^{\mathbf{2}}}}$

Acceleration due to gravity in the hypothetical planet:

${\mathbit{g}}_{\mathbf{p}}\mathbf{=}\frac{\mathbf{G}\mathbf{M}}{{{\mathbf{R}}_{\mathbf{p}}}^{\mathbf{2}}}$

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###### Problem Details

A hypothetical planet has a radius 1.9 times that of Earth, but has the same mass. What is the acceleration due to gravity near the surface?