The moon's mass is [tex]7.34 \times 10^{22} \, \text{kg}[/tex] and it is [tex]3.8 \times 10^{8} \, \text{m}[/tex] away from Earth. Calculate the gravitational force of attraction between the Earth and the moon.
Answer (3)
Using the gravity equation: force of gravity = (G mass of object 1 mass of object 2)/distance between the objects^2, we can plug in the masses of the objects (5.97x10^24kg for earth, and 7.34x10^22kg for the moon) and the distance between the objects (3.8x10^8metres) and (6.67x10^-11 gravitational constant) for G, we get (6.67x10^-11 5.97x10^24 7.34^22)/(3.8x10^8)^2 which equals =2.02x10^20 which is the force of gravity
Again I think you did not give the right constants. So I would use the correct constants for mass of moon and distance from earth to moon.
The formula for force of attraction between any two bodies in the universe F = GMm / r^2. (Newton's Universal law of Gravitation).
G = Universal gravitational constant, G = 6.67 * 10 ^ -11 Nm^2 / kg^2. M = Mass of Earth. = 5.97 x 10^24 kg. m = mass of moon = 7.34 x 10^22 kg. r = distance apart, between centers = in this case it is the distance from Earth to the Moon = 3.8 x 10^8 m.
(Sorry I could not assume with the values you gave, they are wrong, and if we use them we would be insulting Physics).
So F = ((6.67 * 10 ^ -11) (5.97 x 10^24) (7.34 * 10^22)) / (3.8 x 10^8)^2. Punch it all up in your calculator. I used a Casio 991 calculator, it should be one of the best in the world.Really lovely calculator, that has helped me a lot in computations like this. I am thankful for the Calculator.
F = 2.0240 * 10^ 20 N. So that's our answer. Hurray!!
The gravitational force of attraction between the Earth and the Moon is approximately 2.03 × 10^20 N, calculated using the formula F = G * (mass of Earth * mass of Moon) / (distance)^2. This calculation takes into account the masses of both celestial bodies and the distance between them. The gravitational attraction plays a key role in determining ocean tides on Earth.
;
