I figured out the slope for a force vs mass graph but does a slope have units?

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The slope of a force versus mass graph has units of N/kg, which can also be expressed as m/s². This is derived from the relationship where slope equals rise over run, with rise being the change in force and run the change in mass. In the SI system, force is measured in Newtons and mass in kilograms, leading to the conclusion that the slope represents acceleration. The formula F = m*a supports this, as dividing force by mass yields acceleration. Understanding this relationship clarifies the units of the slope and its significance in physics.
Meganktn
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Need to know how to figure out the units on a slope
ty.
 
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Yes the slope has units!

Slope = rise/run

Since you are plotting force against mass, the rise in the graph is the change in force while the run is the change in mass.

Therefore, slope= Force/Mass

I am assuming that you are dealing with the SI system, which means force is measured in Newtons (N) and mass in kilograms (kg).

This means that the units of the slope are N/kg. However a Newton is also equal to one kg*m/s2, so if we divide this by one kg we are left with a slope with units m/s2, which acceleration is measured in!

This makes perfect sense considering that F=m*a. If we divide force by a certain mass we have F/m=(m*a)/m. In other words F/m=a. And since the slope of this graph was calculated by dividing F/m we know that it represents acceleration. That's proof that the unit for the slope is m/s2.
 
TY TY TY I APPRECIATE THIS VERY VERY MUCH! your answer was awesome! i hate sites where ppl just tell the answer and not explain it :) tyy
 
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