Question

Два мальчика, масса каждого из которых равна 50 кг, стоят на расстоянии 10 м друг от друга. С какой силой, согласно закону всемирного тяготения, мальчики притягиваются друг к другу?

Answer 1

Дано:
G = 6,67 × 10^-11 Н × м²/кг²
r = 10 м
m1 = m2 = 50 кг
Найти: F - ?
Решение:
F = G × m × m/r²
F = G × m²/r²
F = 6,67 × 10^-11 Н × м²/кг² × 2500 кг²/100 м² = 16 675 × 10^-11/100 Н = 16 675/10^11 × 100 Н = 16 675/10^13 Н ≈ 0,000000002 Н = 2 × 10^-9 Н

Answer 2

Calculation of Gravitational Force

To calculate the force with which the two boys attract each other according to the law of universal gravitation, we can use the formula:

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

Where: - F is the gravitational force - G is the gravitational constant (approximately 6.674 × 10^-11 N m^2/kg^2) - m1 and m2 are the masses of the two boys (50 kg each) - r is the distance between the centers of the two boys (10 m)

Substituting the given values into the formula:

F = (6.674 × 10^-11) * (50 * 50) / 10^2

F = (6.674 × 10^-11) * 2500 / 100

F = 1.6685 × 10^-6 N

So, according to the law of universal gravitation, the two boys attract each other with a force of approximately 1.6685 × 10^-6 N.