My question is that when the density of a planet is equal to the density of Earth but twice its radius why it's acceleration due to gravity becomes less than that of Earth, why doesn't it becomes greater
Open in App
Solution
g=GMm/r^2 here GM is constant
Density=mass/volume so mass=density×volume volume of sphere=4/3×pie×r^3 substitute this for mass mass(m)=density×(4/3)×pie×r^3 so g=GM×density×(4/3)×pie×r^3/r^2 so here r^2 in denominator cancels and g= a constant×r so the g decreases constant=GM×density×4/3×pie