Question

Хан Соло пытается оторваться от имперского патруля. Проявив контрабандистскую находчивость, достал из трюма баллоны сжатой смеси. С какой скоростью стал двигаться ястреб, если масса судна - 200 тонн, суммарная масса вылетевшей сжатой плазмы – 1000 кг. Скорость вылета плазмы считать равной 1000 км/с.

Answer 1

В общем переведём для начала км/с в м/c. 1000км/с будет равно 10^6 м/с.
По закону сохранения импульса
$mV=Mu$=>u=mV/M=1000*10^6/200000=5000 м/c.
Неплохая скорость для кораблика массой 200 тонн

Answer 2

Calculation of Speed

To calculate the speed at which the Millennium Falcon would move after Han Solo releases the compressed plasma, we can apply the principle of conservation of momentum. The initial momentum of the system (Millennium Falcon + compressed plasma) is equal to the final momentum of the system.

The initial momentum of the system is given by the product of the mass of the Millennium Falcon (200 tons) and its initial velocity (unknown), plus the product of the mass of the compressed plasma (1000 kg) and its initial velocity (1000 km/s).

The final momentum of the system is given by the product of the mass of the Millennium Falcon (200 tons + 1000 kg) and its final velocity (unknown).

Setting the initial momentum equal to the final momentum, we can solve for the final velocity of the Millennium Falcon.

Let's calculate the final velocity:

Initial momentum = Final momentum

(200 tons * initial velocity) + (1000 kg * 1000 km/s) = (200 tons + 1000 kg) * final velocity

Converting the masses and velocity to SI units:

(200,000 kg * initial velocity) + (1000 kg * 1000 m/s) = (200,000 kg + 1000 kg) * final velocity

200,000 * initial velocity + 1,000,000 = 201,000 * final velocity

Simplifying the equation:

200,000 * initial velocity = 201,000 * final velocity - 1,000,000

Now we can solve for the final velocity:

final velocity = (200,000 * initial velocity + 1,000,000) / 201,000

Given that the initial velocity of the Millennium Falcon is zero (since it was stationary before the release of the compressed plasma), we can simplify the equation further:

final velocity = 1,000,000 / 201,000

Calculating the final velocity:

final velocity ≈ 4.975 km/s

Therefore, the Millennium Falcon would move at a speed of approximately 4.975 km/s after Han Solo releases the compressed plasma.