Calculate the gravitational force between an astronaut (mass of 225kg) and Mars (mass of 6.39x1023 kg) when the astronaut is on

Question

3 years ago

13

the
surface of the planet.
Use the G.U.E.S.S. method to show your work to earn credit.
(Radius of Mars = 3 39x106m)
HELP

1 answer:

mina [271] · Answer 1 · 2022-08-13T19:35:15+03:00

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)

$M=6.39\cdot 10^{23}kg$ (mass of Mars)

$R=3.39\cdot 10^6 m$ (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:

$F=G\frac{mM}{R^2}$

where

$G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}$ 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

$F=\frac{(6.67\cdot 10^{-11})(225)(6.39\cdot 10^{23})}{(3.39\cdot 10^6)^2}$

S) Solving

By putting numbers into a calculator, we find

F = 834 N

Learn more about gravitational force:

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