Answer:
The magnitude of the gravitational force acting on the lander on the surface of Mars is 512.46 N.
Explanation:
The Universal law of gravity is define as:
[tex]F = G \frac{M.m}{R^{2}}[/tex] (1)
Where F is the gravitational force, G is gravitational constant, M is the mass of Mars, m is the mass of the lander and R is the radius of Mars.
Before replacing the values in equation 1 it is necessary to express the radius of mars in terms of meters:
R = [tex]3397 kmx\frac{1000 m}{1 km}[/tex] ⇒ R = [tex]3397000 m[/tex]
Finally, equation 1 can be used:
[tex]F = (6.67x10^{-11} N.m^{2}/Kg^{2}) \frac{(6.42x10^{23} kg)(138.1 kg)}{(3397000 m)^{2}}[/tex]
[tex]F = 512.46 N[/tex]
Hence, the magnitude of the gravitational force acting on the lander on the surface of Mars is 512.46 N.
