У поверхности Земли (т.е на расстоянии R от её центра) на тело действует сила тяготения 36Н. Чему равно сила тяготения действующая на тело на расстоянии 2R от поверхности земли?
The force of gravity acting on an object at a distance R from the center of the Earth is given by the equation F = GMm / R^2, where G is the universal gravitational constant, M is the mass of the Earth, and m is the mass of the object. Therefore, we can calculate the force of gravity acting on an object at a distance 2R from the surface of the Earth by simply substituting the new distance into the equation: F = GMm / (2R)^2 = (1/4) GMm / R^2 = 9 N. The force of gravity is inversely proportional to the square of the distance from the center of the Earth, so at a distance 2R, the force is four times weaker than at a distance R. This is due to the fact that the force of gravity spreads out over a larger surface area at a greater distance. This relationship is known as the inverse-square law and is a fundamental concept in physics. It is important to note that the force of gravity acting on an object is also affected by the masses of the Earth and the object. Therefore, the answer we have calculated assumes that the mass of the Earth and the object remain constant. If the mass of the Earth or the object changes, the force of gravity acting on the object would also change accordingly.
