Question

The acceleration due to gravity on Mars is 3.60 m/s2. if this is measured at a distance of 3.4 x 10^6 m from the center of the planet, calculate the mass of Mars.

Answer 1

As we know that acceleration due to gravity is given by

`g = (GM)/(r^2)`

here we know that

g = 3.60 m/s^2

M = ?

`r = 3.4 * 10^6 m`

now we have

`3.60 m/s^2 = ((6.67 * 10^(-11) Nm^2/kg^2)(M))/((3.4 * 10^6)^2m^2)`

`M = 6.24 * 10^(23) kg`

so above is the mass of Mars