physics question about forces, graphs, and velocities?

Question

ok, so when you are graphing a force vs. velocity graph, what is significant about the slope? what about when its force vs. velocity squared graph?plz and thank you.

Answer 1

Position-Time: Slope is velocity d/t=V

Velocity-Time:Acceleration because V/t=A

Force-Acceleration:Mass beacause F/a=mass

Velocity-Force: remeber F/a=mass=F/v(1/s)
because acceleration is velocity per second or V/s

So it is probably (mass*1/time) is its slope, or mass per second
Mass/s

Answer 2

The slope of the line on a Force Vs velocity graph should give you the force vs velocity squared function (note m/s^2 = acceleration). The slope is the derivative, and the derivative of velocity is acceleration. So, this means that mass seems to be the constant of proportionality between force and acceleration, or F=ma. I'm assuming you're experimenting with the F=ma equation where you are to compare force between different amounts of mass being accelerated. Hope this helped.

Answer 3

Use the dimensional formula.

First case:

Force / velocity = {ML/ T*T}/ {L/T} = M/T.

Slope gives mass per unit time.

Second case:

Gives mass per unit length.