Question

Find the acceleration due to gravity on a planet that is 10 times as massive as the Earth and with radius 20 times of the radius of the Earth (g = 9.8 m/s²).

Answer 1

Given: M_p = 10 × Mass of the Earth = 10 M_E,

R_P = 20 × radius of the Earth = 20 R_E, g = 9.8 m/s²

To find: Acceleration due to gravity on surface of the planet (g_p)

Formula: g = \(\frac{GM}{R^2}\)

Calculation: From formula,

Acceleration due to gravity on surface of the planet is 0.245 m/s².