Rocket Exhaust Gases: Initial & After 29s Acceleration

In summary, a rocket with an initial mass of 7.30×103 kg is fired in the vertical direction and its exhaust gases are ejected at a rate of 6.00×101 kg/s with a relative velocity of 2.100×103 m/s. To find the initial acceleration of the rocket, you will need to calculate the thrust using the formula F_s dt = dm\cdot\vector{v}_r and then solve for F=ma, taking into account both the thrust and gravity. After 29 seconds, the acceleration will change due to the decrease in mass, so you will need to recalculate using the same formula and solving for F=ma.
  • #1
sloanmp
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A rocket with initial mass of 7.30×103 kg is fired in the vertical direction. Its exhaust gases are ejected at the rate of 6.00×101 kg/s with a relative velocity of 2.100×103 m/s. What is the initial acceleration of the rocket? What is the acceleration after 29 s have elapsed?
 
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  • #2
sloanmp said:
A rocket with initial mass of 7.30×103 kg is fired in the vertical direction. Its exhaust gases are ejected at the rate of 6.00×101 kg/s with a relative velocity of 2.100×103 m/s. What is the initial acceleration of the rocket? What is the acceleration after 29 s have elapsed?

I think you will first need to find such a thing like the Thrust of the rocket, which can be obtained by:

[tex]F_s dt = dm\cdot\vector{v}_r[/tex]

With the thrust, which is clearly a force, you can solve for F =ma, m being the initial one (take into account that your rocket is losing mass as it goes up).
Hint: The total force is the thrust + the gravity!
 

What are rocket exhaust gases?

Rocket exhaust gases are the byproduct of the combustion process that occurs within a rocket engine. These gases typically consist of hot, high-pressure exhaust containing various compounds such as water vapor, carbon dioxide, and nitrogen oxides.

How is the initial rocket exhaust gas composition determined?

The initial composition of rocket exhaust gases is determined by the type of fuel and oxidizer used in the rocket engine. Different fuel and oxidizer combinations will produce different exhaust gas compositions, which can affect the performance and characteristics of the rocket.

What happens to rocket exhaust gases during the first 29 seconds of acceleration?

During the first 29 seconds of acceleration, the rocket exhaust gases experience a significant increase in velocity and temperature as they are expelled from the rocket nozzle. This increase in speed and temperature is a result of the energy released from the combustion process and the expansion of gases as they exit the nozzle.

How does the composition of rocket exhaust gases change after 29 seconds of acceleration?

After 29 seconds of acceleration, the composition of rocket exhaust gases may change as the rocket engine adjusts its thrust and fuel flow. This can result in a decrease or increase in certain compounds within the exhaust gases, such as water vapor or carbon dioxide.

What are the potential environmental impacts of rocket exhaust gases?

The release of rocket exhaust gases into the atmosphere can have various environmental impacts, including air pollution and the depletion of the ozone layer. It is important for rocket scientists to consider these potential impacts and work towards developing more eco-friendly rocket engines.

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