Understanding the Units and Origin of a Velocity^2 vs. Centripetal Force Plot

[kso]

Homework Statement

what are the units of the slope of a velocity^2 vs. centripetal force plot? and why should the line pass through the origin?

Homework Equations

The Attempt at a Solution

I'm getting m/km for units but I'm not sure what that actually means so I don't know why it should go through the origin of the graph.

 

[Redsummers]

Welcome to the forum!

According first to the relevant equations we got the following:

Centripetal Force = \frac{mass * velocity^2}{radius}

By this we deduce that such a slope of velocity would lead us to be:

m =\frac{mass}{radius}

That is mainly due because we have set up the Centripetal Force to be the Y axis and the velocity square in the X one.

Hope that helped, you may try now work out the math to see why does it pass through the origin.

 

[kso]

Thank you! That helped a lot. :)