Calculating Acceleration and Fuel Consumption in Rocket Science

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SUMMARY

The discussion focuses on calculating the initial upward acceleration and fuel consumption of a 20,000kg rocket with a thrust of 3.0 * 10^5 N. The correct initial acceleration is derived using the formula F=MA, factoring in the weight of the rocket. The weight, calculated as 20,000kg multiplied by the acceleration due to gravity (9.81 m/s²), must be subtracted from the thrust to determine the net force and thus the correct acceleration. Additionally, the mass of fuel burned at an altitude of 5000m can be calculated using the thrust and the new acceleration of 6.0 m/s².

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  • Understanding of Newton's Second Law (F=MA)
  • Knowledge of free body diagrams
  • Familiarity with gravitational force calculations
  • Basic rocket propulsion principles
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Meteo
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A couple of questions in this problem.


A 20,000kg rocket has a rocket motor that generates 3.0 *10^5N of thrust.

1. What is the rocket's initial upward acceleration?

I used the formula F=MA and got 15 but apparently that's not the right answer. So I am stumped.

2. At an altitude of 5000m the rocket's acceleration has increased to 6.0m/s^2. What mass of fuel has it burned?


Im assuming I need the answer to the first part and that the 5000m is irrelevant.

300000=m_1*6 Then I should be able to get the answer 20000-m_1

Thanks.
 
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Meteo said:
A 20,000kg rocket has a rocket motor that generates 3.0 *10^5N of thrust.

1. What is the rocket's initial upward acceleration?

I used the formula F=MA and got 15 but apparently that's not the right answer. So I am stumped.

Thanks.

I think you are on the right track. With problems like these the first step is to draw a free body diagram then sum the forces - perhaps the problem states that the rocket is taking off from Earth? After summing the forces you should have the answer for the Total a. Let me know if that helps.

Merle
 
Ah ok I see why my answer is wrong. I needed to subtract weight from the thrust.
 

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