Question

В ракете общей массой 600гр содержится 350гр топлива на какую высоту поднимется ракета если выход газов произойдет со скоростью 300м/с мнгновенно.

Answer 1

Движение ракеты рассчитывается по закону сохранения импульса:

m1v1=m2v2

0.35*300(импульс газов)=0.25(масса ракеты теперь уже без топлива)*v2

v2=105/0.25=420м/c.

Теперь рассчитаем высоту:

h=v0^2/2g=420^2/20=176400/20=8820м.

Ответ: ракета поднимется на 8 км, 820 метров, ну или примерно на высоту Эвереста).

Answer 2

Calculation of Rocket Height

To calculate the height to which the rocket will rise, we need to consider the mass of the rocket, the mass of the fuel, and the speed at which the gases are expelled.

Given: - Mass of the rocket: 600 grams - Mass of the fuel: 350 grams - Speed of gas expulsion: 300 m/s (instantaneous)

To find the height, we can use the principle of conservation of momentum. The momentum before the gas expulsion is equal to the momentum after the gas expulsion.

The momentum before the gas expulsion is given by the product of the total mass of the rocket and its velocity. The momentum after the gas expulsion is given by the product of the remaining mass of the rocket (after the fuel is expelled) and its velocity.

Let's denote the initial velocity of the rocket as V0, the final velocity as Vf, the initial mass as M0, the mass of the fuel as Mf, and the remaining mass after the fuel is expelled as Mr.

The momentum before the gas expulsion is: M0 * V0 The momentum after the gas expulsion is: Mr * Vf

Since momentum is conserved, we have the equation: M0 * V0 = Mr * Vf

We can rearrange the equation to solve for the remaining mass after the fuel is expelled (Mr): Mr = (M0 * V0) / Vf

Substituting the given values: M0 = 600 grams Mf = 350 grams V0 = 0 m/s (initially at rest) Vf = 300 m/s

Mr = (600 grams * 0 m/s) / 300 m/s = 0 grams

The remaining mass after the fuel is expelled is 0 grams, which means the rocket has no mass left. This implies that the rocket will continue to rise indefinitely, assuming no other external forces act on it.

Therefore, the rocket will not reach a specific height as it will continue to rise until acted upon by external forces.

Please note that the given search results did not provide any relevant information for this specific calculation.