On a planet whose radius is 1.1 x 10^7 m, the acceleration due to gravity is 41 m/s^2. What is the mass of the planet (in kg) ?

M = 7.43*10^25 kg

Explanation:

let the mass of the planet be M and r be the radius of the planet and g be the gravitational acceleretion.

then:

the gravitational acceleration is given by:

g = G*M / (r^2)

M = g*r^2/G

= [ (41) * (1.1*10^7) ^2] / (6.67408*10^-11)

= 7.43*10^25 kg

therefore, the mass of the planet is 7.43*10^25 kg.