Pytels Dynamics 12.39: A rocket is launched vertically

In summary, a 2000-kg rocket is launched vertically from the Earth's surface with a constant propulsive force of 60 kN for 20 seconds. Neglecting the reduction in mass and variation of gravitational acceleration, the altitude of the rocket at the end of the powered portion of the flight can be calculated using Newton's second law and integration. This approach was confirmed to be correct.
  • #1
Alexanddros81
177
4

Homework Statement


A 2000-kg is launched vertically from the surface of the earth. The engine shuts off after providing a constant propulsive force of 60 kN for the first 20 seconds. Neglect the reduction in the mass of the rocket due to the burning of the fuel and the variation of the gravitational acceleration with altitude. Calculate the altitude of the rocket at the end of the powered portion of the flight.

Homework Equations

The Attempt at a Solution


I have tried applying Newton's second law ΣFy=ma => F-W=ma (1)
Then I found right hand a of eq (1) and done the integration to find v and x.

Is this the right way to go?
 
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  • #2
Sounds like a good plan.
 
  • #3
Pytel_Dynamics040.jpg
Is this correct?
 
  • #4
Alexanddros81 said:
Is this correct?
Yes. Nice work!
 

1. What is Pytels Dynamics 12.39?

Pytels Dynamics 12.39 is a mathematical model used to analyze and predict the motion of a rocket launched vertically.

2. How does Pytels Dynamics 12.39 work?

Pytels Dynamics 12.39 uses equations of motion, such as Newton's laws, to calculate the trajectory of a rocket launched vertically. It takes into account factors such as thrust, gravity, and air resistance to determine the rocket's position, velocity, and acceleration at any given time.

3. What is the significance of Pytels Dynamics 12.39 in rocket science?

Pytels Dynamics 12.39 is an important tool in rocket science as it allows scientists and engineers to understand and predict the behavior of a rocket during launch. This information is crucial in designing safe and efficient rockets for space exploration and other applications.

4. Can Pytels Dynamics 12.39 be applied to other forms of motion besides vertical launch?

Yes, Pytels Dynamics 12.39 can be applied to any form of motion as long as the appropriate equations and factors are included. For example, it can be used to analyze the motion of a rocket during horizontal flight or during a change in direction.

5. Are there any limitations to Pytels Dynamics 12.39?

Like any mathematical model, Pytels Dynamics 12.39 has its limitations. It assumes certain simplifications and ideal conditions, such as a constant thrust and uniform air resistance, which may not always be accurate in real-life situations. It is important to use caution and consider other factors when using this model for practical applications.

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