Maximizing Velocity and Range of a Rocket with Changing Mass

  • Thread starter Thread starter Ashleyz
  • Start date Start date
  • Tags Tags
    Mass Rocket
Click For Summary
SUMMARY

The discussion centers on solving a rocket problem involving changing mass without using integrals, specifically focusing on maximizing velocity (V) and determining range (R) when fuel runs out. Participants confirm that while derivatives can be applied to Newton's second law, integrals are necessary for complete solutions to both parts of the problem. The consensus is that understanding the conditions clearly is crucial, and collaboration with someone knowledgeable in Calculus 2 is recommended for further assistance.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of derivatives
  • Familiarity with the concept of changing mass in physics
  • Awareness of the relationship between velocity, range, and fuel consumption
NEXT STEPS
  • Study the application of integrals in physics problems involving changing mass
  • Learn about the rocket equation and its derivation
  • Explore the concept of conservation of momentum in variable mass systems
  • Review Calculus 2 topics, particularly integration techniques relevant to physics
USEFUL FOR

Students studying physics and calculus, particularly those interested in mechanics and dynamics of rockets, as well as educators seeking to clarify the relationship between calculus and physical applications.

Ashleyz
Messages
16
Reaction score
0
Can I do a rocket problem with changing M without involving
an integral?
I am currently taking Calculus 1 and have not learned
that yet, although derivatives are no problem.

The Problem:

2 parts

1st part: find the max V when fuel runs out.

2nd part: find the R(range), where the rocket crashes when fuel runs out.
 
Physics news on Phys.org
as far as i know,we have to make a communication with integral.
and i think in order to solve the problem you'd better state the conditions clearly.
 
This is not a problem that I need help solving, only, I need
help determinging if I MUST use an integral,

physics problems are two parts right, physics part, then math. Well I need help on the math.

it seems as if I should be able to use derivatives only for Newtons 2nd law.
 
I think the short answer is, no. You will need to do an integral. Find a friend who has taken calc 2.
 
That answers my question. Thank you.
 

Similar threads

How to calculate velocity of infinite-stage rocket?
  • · Replies 2 ·
Replies
2
Views
1K
Rocket + Connected Body Dynamics problem
  • · Replies 47 ·
2
Replies
47
Views
3K
Why is the thrust equation same under gravitational force?
  • · Replies 10 ·
Replies
10
Views
2K
How Does Rocket Ejection Mass Affect Its Velocity in Space?
  • · Replies 1 ·
Replies
1
Views
2K
How Does the Relativistic Rocket Equation Describe Velocity?
  • · Replies 2 ·
Replies
2
Views
2K
Force and acceleration of a rocket
  • · Replies 3 ·
Replies
3
Views
2K
How Fast Will the Rocket Travel After Using All Its Fuel?
  • · Replies 7 ·
Replies
7
Views
2K
Find the initial velocity of a water rocket (mass changes)
  • · Replies 8 ·
Replies
8
Views
2K
Conservation of Momentum With Changing Mass
  • · Replies 6 ·
Replies
6
Views
2K
Rocket Launch: Achieving Escape Velocity w/ Fuel-Mass Ratio of 300
  • · Replies 3 ·
Replies
3
Views
2K