# Calculating Rocket Height with Changing Mass: Guide & Tips

• lastlaugh
In summary, rocket propulsion works by using Newton's third law of motion to create an upward force that propels the rocket forward. The most common fuel used in rocket propulsion is liquid hydrogen and liquid oxygen, which are ignited to create controlled explosions. The speed of a rocket depends on various factors, but it can travel at speeds up to 25,000 miles per hour in Earth's orbit and 40,000 miles per hour on interplanetary missions. There are three main types of rocket propulsion systems: chemical, electrical, and nuclear. Developing these systems poses challenges in balancing thrust and efficiency, ensuring safety and reliability, and conducting extensive research and development.
lastlaugh
How do you go about finding the height reached by a rocket with a changing rocket mass if you know the specific impulse, the mass ratio (original mass/final mass) and the thrust to weight ratio? Any help you can give is greatly appreciated.

edit: I would show you my work on this problem but the honest truth is I do not know where to begin.

Last edited:
Good places to start:

What equations do you have that you think *might* apply?

nevermind I went to a study group and we figured it out *hopefully*

## 1. How does rocket propulsion work?

Rocket propulsion works by using Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. Rockets use this principle to push against the ground or the air, creating an upward force that propels the rocket forward.

## 2. What type of fuel is used in rocket propulsion?

There are different types of fuel used in rocket propulsion, but the most common type is liquid hydrogen and liquid oxygen. These two fuels are combined in the rocket's engine and ignited to create a controlled explosion, which produces the necessary thrust to lift the rocket off the ground.

## 3. How fast can a rocket travel using propulsion?

The speed of a rocket depends on various factors, such as the type of propulsion system, the weight of the rocket, and the amount of fuel it carries. However, on average, rockets can travel at speeds of up to 25,000 miles per hour in Earth's orbit and up to 40,000 miles per hour on interplanetary missions.

## 4. What are the different types of rocket propulsion systems?

There are three main types of rocket propulsion systems: chemical, electrical, and nuclear. Chemical propulsion, as mentioned earlier, uses liquid or solid fuel to create thrust. Electrical propulsion uses electricity to accelerate ions or plasma, while nuclear propulsion uses nuclear reactions to generate thrust.

## 5. What are the challenges of developing rocket propulsion systems?

Developing rocket propulsion systems is a complex and challenging task. One of the main challenges is finding the right balance between thrust and efficiency. Another challenge is ensuring the safety and reliability of the propulsion system, as any failure during a rocket launch can have catastrophic consequences. Additionally, developing more advanced and efficient propulsion systems requires significant research and development efforts.

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