Question

Космонавт массой 100 кг про выходе из космического корабля массой 7000 кг в открытый космос оттолкнулся от корабля и стал удаляться от него со скоростью 71 см/с. Найдите модуль изменения скорости космического корабля в результате толчка космонавта

Answer 1

Calculation of the Change in Velocity of the Spacecraft

To calculate the change in velocity of the spacecraft as a result of the astronaut's push, we can use the principle of conservation of momentum. According to this principle, the total momentum before the push is equal to the total momentum after the push.

The momentum of an object is given by the product of its mass and velocity. Let's denote the mass of the astronaut as m1 (100 kg) and the mass of the spacecraft as m2 (7000 kg). The initial velocity of the astronaut is 0 cm/s, and the final velocity is 71 cm/s away from the spacecraft.

Using the conservation of momentum, we can write the equation:

(m1 * v1) + (m2 * v2) = 0

where v1 is the initial velocity of the astronaut and v2 is the final velocity of the spacecraft.

Substituting the given values, we have:

(100 kg * 0 cm/s) + (7000 kg * v2) = 0

Simplifying the equation, we find:

7000 kg * v2 = 0

Dividing both sides by 7000 kg, we get:

v2 = 0 cm/s

Therefore, the change in velocity of the spacecraft as a result of the astronaut's push is 0 cm/s.

Please note that the search results provided by You.com did not directly answer the question. However, the calculation of the change in velocity can be derived using the principle of conservation of momentum.