Calculating Acceleration and Fuel Consumption in Rocket Science

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To calculate the initial upward acceleration of a 20,000kg rocket with a thrust of 3.0 *10^5N, the weight of the rocket must be subtracted from the thrust before applying the formula F=MA. The correct approach involves drawing a free body diagram to sum the forces acting on the rocket. The initial acceleration is not simply derived from thrust divided by mass; it requires accounting for gravitational force. For the second part of the problem regarding fuel consumption at 5,000m altitude, the mass of fuel burned can be determined using the new acceleration value. Understanding these fundamental principles is crucial for accurate calculations in rocket science.
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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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