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Introduction to Radial & Tangential Acceleration

If the densit...

Question

If the density of the planet is doubled that of the earth and the radius $1.5$ times that of the earth, the acceleration due to gravity on the planet is:

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Solution

$g = \frac{4}{3} π ρ G R \frac{R_{p}}{R_{e}} = \frac{g_{p}}{g_{e}} \frac{ρ_{e}}{ρ_{p}} \frac{(1.5 R_{e})}{R_{e}} = \frac{g_{p}}{g_{e}} \frac{ρ_{e}}{{(2 ρ}_{e})} \frac{g_{p}}{g_{e}} = 3$

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