Масса Земли 6 1024 кг, масса Луны 7,3 1022 кг, расстояние между их центрами 384 000 км. Определите силу тяготения между Землей и Луной.
The gravitational force between Earth and Moon can be calculated using the equation F = G(m1*m2)/d^2, where G is the gravitational constant (6.674 * 10^-11 N*m^2/kg^2), m1 and m2 are the masses of Earth and Moon respectively, and d is the distance between their centers. Plug in the values - F = (6.674 * 10^-11)*(6*10^24)*(7.3*10^22)/(3.84*10^8)^2 = 1.98*10^20 N. This force is attractive in nature and is responsible for keeping the Moon in orbit around Earth. It also causes the tides on Earth and Moon.Now, if we want to find the acceleration due to this force, we can use the formula a = F/m, where a is the acceleration, F is the force, and m is the mass of the body experiencing the force. In this case, the Moon's acceleration towards Earth is a = 1.98 * 10^20 N / 7.3*10^22 kg = 2.72 m/s^2. This acceleration is what keeps the Moon in a stable orbit around Earth.
Note: These calculations assume that Earth and Moon are point masses. In reality, they have finite sizes and the force varies throughout the objects. To account for this, one can use the distance between their surfaces instead of centers. Also, the simplest model assumes no other objects affecting the Earth-Moon system, which is not the case in real life.
I hope this helps you understand the gravitational force between Earth and Moon. Keep looking up!
