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

  • Thread starter Thread starter daf10
  • Start date Start date
  • Tags Tags
    Force
AI Thread Summary
The equation F=2+4v raises concerns about dimensional consistency, as it suggests that force is equal to a constant plus a velocity, which is dimensionally incorrect. The discussion begins with a student expressing confusion about how to approach the problem, indicating a lack of instruction on the topic. Participants emphasize the need to clarify the equation's form, specifically whether it should be F=2+4v(t). Additionally, the conversation touches on the student's background in differential equations and calculus, which is relevant for solving the problem. Overall, the main focus is on understanding the dimensional correctness of the force equation provided.
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?
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top