An object on a planet has a mass of 243 kg. What is the acceleration of the object, if the radius of the planet is 2.32 x 10^7 m, and the mass of planet is
6.35 x 10^30 kg? Estimate G as 6.67 x 10^-11 N (m/kg)^2

The acceleration of the object is

The gravitational acceleration of object is computed by formula shown below,

Where G is gravitational constant, m is mass of object and R is radius of planet.

Given that,  

Substitute values in formula.

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The gravitational acceleration of a planet of mass M and radius R

a = G*M/R^2.

In this case we have:

G = 6.67 x 10^-11 N (m/kg)^2

R = 2.32 x 10^7 m

M = 6.35 x 10^30 kg

Now we can compute:

a = (6.67*6.35/2.32^2)x10^(-11 + 30 - 2*7) m/s^2 = 786,907.32 m/s^2

The acceleration does not depend on the mass of the object.

it doesn't. it was imagined up in the middle ages.