What is the force of gravity acting on the machine, if its mass is equal to 1.5 tons?
Mz = 5.97 * 10 ^ 24 kg.
m = 1.5 t = 1500 kg.
G = 6.67 * 10 ^ -11 H * m2 / kg2.
Rz = 6371000 m.
Fт -?
According to the law of universal gravitation, a force of mutual attraction F arises between the bodies, the values of which are determined by the formula: F = G * m1 * m2 / R ^ 2, where G is the gravitational constant, m1, m2 are the masses of the bodies, R is the distance between the bodies.
The force of gravity is called Ft, the force with which the earth attracts bodies located on the surface of the earth is called: Ft = G * M * m / Rz ^ 2, where M is the mass of the earth, Rz is the radius of the earth.
A value equal to G * M / Rz ^ 2 – was called the acceleration of gravity g.
g = G * M / Rz ^ 2 = 6.67 * 10 ^ -11 H * m2 / kg2 * 5.97 * 10 ^ 24 kg / (6371000 m) 2 = 9.8 m / s2.
The force of gravity Ft is determined by the formula: Ft = g * m.
Ft = 9.8 m / s2 * 1500 kg = 14700 N.
Answer: the machine is affected by the force of gravity Ft = 14700 N.