Question

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)?

Answer 1

M = 7.43×10^25 kg

Step-by-step 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.