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What is the slope of a force vs. distance graph? 
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#1
Dec608, 05:10 PM

PF Gold
P: 287

1. The problem statement, all variables and given/known data
What is represented by the slope of a Force vs. Distance graph? Also, if I had a Force vs. Distance graph and knew my initial velocity was some value, how would I go about finding the velocity at any distance along the way? 2. Relevant equations F=ma W=Fd v=d/t 3. The attempt at a solution I know that the area under the curve of a Force vs. Distance graph represents work (W=Fd). Is the slope of a Force vs. Distance graph *acceleration*? 


#2
Dec608, 06:09 PM

HW Helper
P: 5,343

Consider the units.
Units of Force = Newtons Units of distance = meters So the slope of an F/D plot would be N/m wouldn't it? What do you know that has N/m as its units? Does anything spring to mind? 


#3
Dec708, 12:20 PM

PF Gold
P: 287

N = m∙kg/s²
m = m N/m = kg/s² = surface tension (slope of Force vs. Distance graph) Ok thanks for helping me think. Rise over run... Units of y axis over units of x axis. That makes sense. For the other part of my question, I think I've got it under wraps. To find the velocity at a certain distance of a Force vs. Distance graph, I need to: Calculate area S below the graph. This area is work, because it is equal to S = integral of F(x)dx = integral of d(work) Using conservation of energy I can now find the velocity: S = Work = KE = 1/2 mv² 


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