Question

The thrust required to reach a height of 69 km is not provided in the question. To calculate it, you would need to consider various factors, including the rocket's mass, gravity, and atmospheric conditions. Please provide additional information for a specific answer.

Answer 1

The maximum rate at which a rocket can expel gases depends on factors such as the rate of fuel expulsion, exhaust velocity, and the mass of the rocket.

Step-by-step explanation:

In order to calculate the maximum rate at which a rocket can expel gases, we can use the equation for acceleration of a rocket. The equation is a = (Am/At) * Ve - g, where a is the acceleration, Am is the rate at which mass is ejected from the rocket, At is the time, Ve is the exhaust velocity, and g is the acceleration due to gravity.

In this case, the acceleration cannot exceed seven times the acceleration due to gravity, which is 7 * 9.80 m/s². We are given that the mass of the rocket just as it runs out of fuel is 75,000 kg and the exhaust velocity is 2.40 × 10³ m/s. Using these values, we can calculate the maximum rate at which the rocket can expel gases.

Maximum rate of gas expulsion = 7 * 9.80 + 2.40 × 10³ * (75,000/T).