The gravitational force between the astronaut and Mars is 834 N
Explanation:
By using the GUESS method:
G) Given: the given information are
m = 225 kg (mass of the astronaut)
[tex]M=6.39\cdot 10^{23}kg[/tex] (mass of Mars)
[tex]R=3.39\cdot 10^6 m[/tex] (radius of Mars, also equal to the distance between the astronaut and the centre of Mars)
U) Unknown: the unknown variable is
F = gravitational force between the astronaut and Mars
E) Equation
The equation to use the equation that gives us the gravitational force between two objects:
[tex]F=G\frac{mM}{R^2}[/tex]
where
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
m, M are the masses of the two objects
R is the separation between the objects
S) Substituting
By substituting the given values into the equation, we find
[tex]F=\frac{(6.67\cdot 10^{-11})(225)(6.39\cdot 10^{23})}{(3.39\cdot 10^6)^2}[/tex]
S) Solving
By putting numbers into a calculator, we find
F = 834 N
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