Accelerating force due to ejection

In summary, the formula given in the book (F=dp/dt) represents Newton's second law, which states that the net force acting on a body is equal to the rate of change of its momentum. This means that for a festival rocket ejecting 0.05 kg of gases per second at a velocity of 400m/s, the accelerating force would be equal to the change in its momentum over time. This formula is important for understanding the motion of objects, especially for those with changing mass.
  • #1
Jowin
2
0
A festival rocket is ejecting 0.05 kg of gases per second at a velocity 400m/s The accelerating force on the is? The formula given in the book is F=dp/dt What does the formula mean:confused:
 
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  • #2
Jowin said:
A festival rocket is ejecting 0.05 kg of gases per second at a velocity 400m/s The accelerating force on the is? The formula given in the book is F=dp/dt What does the formula mean:confused:
The formula is known as Newton's second law and states that the net force acting on a body is equal to the rate of change of the [linear] momentum of the body.
 
Last edited:
  • #3
Welcome to PF!

Hi Jowin! Welcome to PF! :smile:
Jowin said:
A festival rocket is ejecting 0.05 kg of gases per second at a velocity 400m/s The accelerating force on the is? The formula given in the book is F=dp/dt What does the formula mean:confused:
Hootenanny said:
The formula is known as Newton's second law and states that the net force acting on a body is equal to the rate of change of the [linear] momentum of the body.

I'll just add:

p is momentum, which is mass times velocity: p = mv.

F = dp/dt is the official version of good ol' Newton's second law …

so it's F = d(mv)/dt = m dv/dt + v dm/dt, which for fixed m is F = m dv/dt, which is probably what you recognise. :wink:

But for space rockets and festival rockets, m changes, so the official version has to be used! :biggrin:
 

1. What is accelerating force due to ejection?

Accelerating force due to ejection is the force that propels an object forward when it is ejected from a system, such as a rocket or a gun. This force is caused by the rapid expulsion of gases or fluids at high speeds.

2. How is accelerating force due to ejection calculated?

The formula for calculating accelerating force due to ejection is Force = Mass x Acceleration. In this case, the mass refers to the mass of the ejected material, and the acceleration is the speed at which it is ejected.

3. What factors affect the magnitude of accelerating force due to ejection?

The magnitude of accelerating force due to ejection is affected by various factors such as the speed of ejection, the mass of the ejected material, and the angle at which it is ejected. Other factors include the shape and design of the ejection system, as well as any external forces acting on the ejected object.

4. What is the significance of accelerating force due to ejection in space travel?

Accelerating force due to ejection plays a crucial role in space travel as it is used to propel spacecraft and satellites by ejecting fuel at high speeds. This force is also utilized in the ejection of objects for scientific experiments and observations.

5. How is accelerating force due to ejection different from other types of forces?

Accelerating force due to ejection is a type of external force, which means it acts on an object from outside the system. It is also a non-contact force, as it does not require physical contact between the object and the source of the force. Unlike other forces, accelerating force due to ejection only lasts for a short duration, as it is dependent on the ejection process.

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