How Do You Calculate Work Done by a Variable Force from a Graph?

AI Thread Summary
To calculate work done by a variable force from a graph of force versus distance, one can estimate the integral of the force over the distance. The area under the curve between the specified points, such as x=0 and x=2, represents the work done. Utilizing geometric shapes like rectangles or trapezoids can simplify this estimation. The discussion highlights the challenge of accurately determining values at specific points on the graph. Understanding the relationship between force and distance is crucial for solving such problems effectively.
rafaelpitta
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Homework Statement


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The solutions are:
a)2,75J
b)11,4J
c)2,76m/s
d)3,5J
e)2,84m/s

Homework Equations


The Attempt at a Solution


I'm having problemas trying to integrate to find the letter A (the work)! I just can't put the values that match with x=0 (this one I know hehehe) and x=2(this one I don't know =/ )
 
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You are correct that work done is an integral of Force with respect to distance.
As you are given a graph of F against x with squares on it, what would be the simplest way to find (estimate) the value of this integral? Say, between x=0 and x=2?
 

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