Answer to Question #95389 in Astronomy | Astrophysics for Musa

Question

The mass of a certain plane (p) is 1/100 that of the earth, while the radius is 1/4 that of the earth's radius. If the acceleration due to gravity of the earth is 10m/s^2, what is the value of p.

Answer 1

Acceleration ratio $\frac{a_p}{g} = (\frac{R}{r_p})^2(\frac{m_p}{M})$

which means $a_p = 10\cdot16\cdot10^{-2} = 1.6 (m/s^2)$