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Confusing Force function 
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#1
May1310, 11:34 AM

P: 661

1. The problem statement, all variables and given/known data
The force on a particle is directed along an x axis and given by [tex] F = F_0(\frac {x}{x_0} 1) [/tex]. Find the work done by the force in moving the particle from x = 0 to [tex] x = 2x_0 [/tex] 2. Relevant equations F=ma, W=Fd, etc. 3. The attempt at a solution I don't even know how to interpret that function. Does the [tex] x_0 [/tex] mean the initial position? Does [tex] F_0 [/tex] mean the initial force? I'm so confused. Any help would be appreciated. 


#2
May1310, 12:15 PM

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P: 26,148

Hi DrummingAtom!
(try using the X_{2} tag just above the Reply box ) a "0" subscript always means a constant (usually the value at t = 0). (oh … except in relativity, where x_{0} means time! ) 


#3
May1310, 07:32 PM

P: 661

I'm still confused on this one. So, if _{x0 F0} are constants then how would the graph of this function look? Because they want you to graph F(x) before integrating. I mean what do you pick for your constant in a situation like this? I know it's going to be a linear function.



#4
May1310, 08:19 PM

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P: 1,954

Confusing Force function
0....x_{0}...2x_{0}...3x_{0}... Now when you consider your graph's labels, you are integrating from 0 to 2x_{0}, as the problem specifies! The yaxis is F. So where does F_{0} fit into your graph? I'll let you do that. 


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