Question

Космический корабль массой 6т приблизился к орбитальной космической станции на растоянии 100м Чему равна масса станции если сила притяжения станции и корабля 2мкН

Answer 1

Calculation of the Mass of the Space Station

To calculate the mass of the space station, we can use Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

In this case, we have a space station and a spacecraft. The spacecraft has a mass of 6 tons (or 6000 kg) and is located at a distance of 100 meters from the space station. The force of gravity between the spacecraft and the space station is given as 2 micro-Newtons (2 μN).

Using Newton's law of universal gravitation, we can set up the following equation:

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

Where: - F is the force of gravity between the spacecraft and the space station (2 μN) - G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2) - m1 is the mass of the spacecraft (6000 kg) - m2 is the mass of the space station (unknown) - r is the distance between the spacecraft and the space station (100 m)

Solving for m2, we can rearrange the equation as follows:

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

Now, let's plug in the given values and calculate the mass of the space station.

m2 = (2 μN * (100 m)^2) / (6.67430 × 10^-11 N(m/kg)^2 * 6000 kg)

Using the appropriate unit conversions, we can simplify the equation and calculate the mass of the space station.