Question

На каком расстоянии находятся космические корабли массой 6т если сила их взаимного притяжения 8Мн? Помогите пожалуйста!

Answer 1

F = G mM / R^2
R^2 = G mM / F
R = √G mM / F
R = √6,67 * 10^-11 * 6 * 10^3 * 6 * 10^3 / 8 * 10^6 = √60,03 / 2 * 10^11 = √3 * 10^-10 = 1,7 * 10^-5 H

Answer 2

Calculating Distance Between Spacecrafts

To calculate the distance between two spacecrafts of mass 6 tons with a mutual gravitational attraction of 8 MN, we can use the formula for gravitational force and rearrange it to solve for distance.

The formula for gravitational force between two objects is given by:

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 objects - r is the distance between the centers of the objects

We can rearrange this formula to solve for the distance (r):

r = sqrt((G * m1 * m2) / F)

Calculation

Given: - Mass of each spacecraft (m1 = m2 = 6 tons = 6000 kg) - Gravitational force (F = 8 MN = 8,000,000 N) - Gravitational constant (G = 6.674 × 10^-11 N m^2/kg^2)

Plugging these values into the formula:

r = sqrt((6.674 × 10^-11 N m^2/kg^2 * 6000 kg * 6000 kg) / 8,000,000 N)

Calculating the value:

r ≈ sqrt((6.674 × 10^-11 N m^2/kg^2 * 36,000,000 kg^2) / 8,000,000 N) r ≈ sqrt(0.30066 m^3/kg s^2) r ≈ 0.548 m

So, the distance between the two spacecrafts with a mutual gravitational attraction of 8 MN is approximately 0.548 meters.