Mastering Equation Solving: m(dv/dt)=mg-bvn | Step-by-Step Guide

  • B
  • Thread starter Opressor
  • Start date
In summary, the conversation is about an equation involving a falling body and a resistance force. The equation is unclear and does not seem to have matching dimensions. It is suggested that the equation may involve a differential equation with a second derivative of velocity and constants for mass, gravity, and velocity. However, there appears to be more to the equation that is not understood.
  • #1
Opressor
10
1
Member warned that homework posts must show some effort and be posted in a HW section
m (dv / dt) = mg-bvn
 
Last edited:
Physics news on Phys.org
  • #2
Opressor said:
m(d2v/dt2)=-mg-bvn
This equation doesn't make sense if the symbols have their usual meanings. Did you mean m(dv/dt)=-mg-bvn ?
 
  • Like
Likes Opressor
  • #3
What does it represent? It is a differential equation (second derivative of velocity?) equals -(mass)(gravity?) - (some number b) times (velocity?)^n
If I am even close, it does not look like the dimensions match.
 
  • Like
Likes Opressor
  • #4
is the equation of a falling body having as resistance force bv ^ n
 
  • #5
It looks like you are asking about solutions to dx/dt = 1 - axn? For a and n = constants you can just integrate it, so I guess there is more to your equation than we understand?
 
  • Like
Likes Opressor

1. What is the purpose of mastering equation solving?

The purpose of mastering equation solving is to develop the ability to solve complex mathematical equations and use them to understand and analyze real-world problems. This skill is essential for scientists as it allows them to make accurate predictions and draw conclusions based on data and observations.

2. What is the equation m(dv/dt)=mg-bvn used for?

This equation is commonly used to describe the motion of an object in a fluid medium, taking into account the effects of gravity, buoyancy, and drag force. It is often used in physics, engineering, and other scientific fields to analyze the behavior of objects in fluids.

3. How do I solve the equation m(dv/dt)=mg-bvn?

To solve this equation, you can use the separation of variables method, which involves isolating the variables on opposite sides of the equation and then integrating both sides. Alternatively, you can use numerical methods such as Euler's method or Runge-Kutta method to approximate the solution.

4. What are the steps involved in mastering equation solving?

The steps involved in mastering equation solving include understanding the basic principles of algebra, learning various techniques for solving equations, practicing with a variety of problems, and applying the skills to real-world scenarios. It also involves developing critical thinking and problem-solving skills.

5. Are there any tips for mastering equation solving?

Yes, some tips for mastering equation solving include breaking down complex equations into smaller, more manageable parts, practicing consistently, seeking help from teachers or peers when needed, and making connections between different equations and concepts. It is also important to understand the underlying principles and concepts rather than just memorizing formulas.

Similar threads

  • Calculus and Beyond Homework Help
Replies
2
Views
521
  • Introductory Physics Homework Help
Replies
1
Views
997
  • Calculus and Beyond Homework Help
Replies
12
Views
924
Replies
0
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
3
Views
915
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Calculus and Beyond Homework Help
Replies
3
Views
1K
  • Other Physics Topics
Replies
4
Views
2K
Back
Top