Answer:
The acceleration of the object is 7.87 x 10⁵ m/s²
Explanation:
Given;
mass of the object, m = 243 kg
mass of the planet, M = 6.35 x 10³⁰ kg
radius of the planet, R = 2.32 x 10⁷ m
universal gravitation constant, G = 6.67 x 10⁻¹¹ Nm/kg²
Apply Newton's second law of motion and Newton's gravitational law;
[tex]ma = \frac{GmM}{R^2}\\\\a = \frac{GM}{R^2}\\\\a = \frac{(6.67*10^{-11})(6.35*10^{30})}{(2.32*10^7)^2}\\\\a = \frac{4.2355*10^{20}}{5.3824*10^{14}} \\\\a = 786916.2 \ m/s^2\\\\a = 7.87*10^5 \ m/s^2[/tex]
Therefore, the acceleration of the object is 7.87 x 10⁵ m/s²
