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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.

Respuesta :

As we know that acceleration due to gravity is given by

[tex]g = \frac{GM}{r^2}[/tex]

here we know that

g = 3.60 m/s^2

M = ?

[tex]r = 3.4 \times 10^6 m[/tex]

now we have

[tex]3.60 m/s^2 = \frac{(6.67 \times 10^{-11} Nm^2/kg^2)(M)}{(3.4 \times 10^6)^2m^2}[/tex]

[tex]M = 6.24 \times 10^{23} kg[/tex]

so above is the mass of Mars

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