What is the force of gravity between the earth (5.972x10^24kg) and Mars (6.39x10^23kg) when they are at their maximum distance of 4.01x10^11m?
To calculate the force of gravity between two objects, we can use Newton's Law of Universal Gravitation. The formula is:
F = G * (m1 * m2) / r^2
where:
F is the force of gravity,
G is the gravitational constant (approximately 6.67430 x 10^-11 N*m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
In this case, the mass of Earth (m1) is 5.972 x 10^24 kg, the mass of Mars (m2) is 6.39 x 10^23 kg, and the distance between them (r) is 4.01 x 10^11 m.
Plugging these values into the formula:
F = (6.67430 x 10^-11 N*m^2/kg^2) * ((5.972 x 10^24 kg) * (6.39 x 10^23 kg)) / (4.01 x 10^11 m)^2
Now we'll simplify the expression:
F = (6.67430 x 10^-11 N*m^2/kg^2) * (3.815748 x 10^48 kg^2) / (1.60801 x 10^22 m^2)
Finally, solving this expression will give us the force of gravity between Earth and Mars at their maximum distance.