Why is this wrong THRUST? i showed work

[zcabral]

why is this wrong...THRUST?? i showed work!

Homework Statement

A rocket for use in deep space is to have the capability of boosting a total load (payload plus the rocket frame and engine) of 2.25 metric tons to a speed of 10 000 m/s.
If a different fuel and engine design could give an exhaust speed of 4600 m/s, what amount of fuel and oxidizer would be required for the same task?
metric tons

Homework Equations

vf=ve ln(mi/mf)

The Attempt at a Solution

10000=4600ln(x/2.25)
x= 19.71
but its wrong. can you help?

 

[D H]

The question asks for the amount of fuel and oxidizer, not the total mass of the vehicle.

 

[Moetasim]

There are a few potential reasons why your answer may be incorrect. First, it's important to double check your units and make sure they are consistent throughout the calculation. In this case, the units for velocity should be m/s, and the units for mass should be in metric tons. Additionally, make sure to convert all units to the appropriate system before plugging them into the equation.

Another potential issue could be with the equation itself. While it is a commonly used equation for rocket propulsion, it may not accurately represent the specific design and capabilities of the rocket in question. It's always a good idea to double check your equations and make sure they are applicable to the problem at hand.

It's also important to consider any other factors that may affect the thrust and fuel requirements of the rocket, such as air resistance or gravitational pull. These can significantly impact the calculations and should be taken into account.

Overall, it's important to carefully review your work and make sure all steps and assumptions are correct. In science, it's crucial to be thorough and precise in order to arrive at accurate conclusions. Keep practicing and seeking help when needed, and you will continue to improve your skills as a scientist.