If the mass of the earth us 6*10^24 kg and of the moon is 7.4*10^22 kg.If the distance between the earth and the moon is 3.84*10^5 km. Calculate the force?

Question

Answer

Calculating the Force Between the Earth and Moon

When calculating the force between two objects, we use the formula:

F = G(m1*m2)/d^2

Breaking down the formula:

F = force

G = gravitational constant (6.67 x 10^-11 Nm^2/kg^2)

m1 = mass of first object

m2 = mass of second object

d = distance between the centers of the two objects

Calculating the Force:

Substituting the given values into the formula:

F = G(m1*m2)/d^2
F = (6.67 x 10^-11 Nm^2/kg^2)(6 x 10^24 kg)(7.4 x 10^22 kg)/(3.84 x 10^5 km)^2

Converting km to meters:

F = (6.67 x 10^-11 Nm^2/kg^2)(6 x 10^24 kg)(7.4 x 10^22 kg)/(3.84 x 10^5 km x 1000m/km)^2
F = 1.99 x 10^20 N

Interpreting the Results:

The force between the Earth and Moon is approximately 1.99 x 10^20 N. This is the force that keeps the Moon in orbit around the Earth. The force of gravity pulls the Moon towards the Earth, while the Moon's inertia keeps it moving in a straight line. The combination of these forces results in the Moon's elliptical orbit around the Earth.

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The mass of the earth is 6×10^24kg and that of the moon is 7.4×10^23kg. If the distance between the earth and the moon is 3.84×10^5, calculate the force exerted by the earth on the moon.Take G=6.67×10^-11 Nm^2/kg^2.?

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