Take into account that the gravitational force between two object with masses mA and mB is given by the following formula:
where,
G = 6.67*10^-11 Nm/kg
mA: mass of object A = ?
mB: mass of object B = 4.21*10^21 kg
r: distance between object A and B = 5.24*10^3 m
Moreover, consider that the force is also equal to the product of the mass by the acceleration, due to the Newton Secon Law, then, you have:
Then, cancel out mA both sides and solve for the acceleration of object A and replace the values of the rest of the parameters, as follow:
![a=(Gm_B)/(r^2)=\frac{(6.67\cdot10^(-11)N\frac{m^2}{\operatorname{kg}^2})(4.21\cdot10^(21)kg)}{(5.24\cdot10^3m)^2}=10226.93(m)/(s^2)]()
Hence, the acceleration of object A is approximately 10226.93 m/s^2
, as follow: