Is the Equation F=2+4v Dimensionally Correct for Calculating Force?

  • Thread starter Thread starter daf10
  • Start date Start date
  • Tags Tags
    Force
Click For Summary

Homework Help Overview

The discussion revolves around the dimensional correctness of the equation F=2+4v in the context of calculating force. The problem involves an object of mass moving along the x direction, with an initial position and velocity provided.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the dimensional analysis of the force equation, questioning how a force can be expressed as a sum of a constant and a velocity. There is also inquiry into the background knowledge of differential equations and calculus relevant to solving the problem.

Discussion Status

The conversation is ongoing, with participants raising questions about the dimensionality of the force equation and seeking clarification on the initial conditions and mathematical background necessary for further analysis.

Contextual Notes

There is a lack of instruction on how to approach the problem, and participants are navigating the assumptions made in the equation and the implications of the variables involved.

daf10
Messages
1
Reaction score
0
Homework Statement
An object of mass m initially at x=2 and traveling with an initial velocity of 1m/s is acted upon by the force F=2+4v. Assuming the mass only moves along the x direction, find v(t) and x(t)
Relevant Equations
N/A
My teacher never actually taught us how to do this problem, so I have zero idea what to do.
 
Physics news on Phys.org
Start by writing down Newton's equation for this problem.
 
Welcome to the PF. :smile:
daf10 said:
Homework Statement: An object of mass m initially at x=2 and traveling with an initial velocity of 1m/s is acted upon by the force F=2+4v. Assuming the mass only moves along the x direction, find v(t) and x(t)
Is that equation for the force F=2+4v(t) ? If so, what is your background in differential equations? What calculus have you had so far?
 
daf10 said:
F=2+4v.

That looks dimensionally odd to me. How can a force equal a number plus a velocity?
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
1K
Replies
17
Views
4K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
14
Views
2K
Replies
1
Views
2K
Replies
29
Views
3K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
6
Views
2K
Replies
39
Views
3K
Replies
7
Views
2K