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2 cards from this section. Quick, good the night before a test.
Define a variable force and provide an example.
Think of forces that act differently based on their position.
Explain how you would calculate the work done by a variable force.
This involves summation and limits, resulting in an integral.
What is work done by a variable force?
Think about how we sum up work for small segments.
True or False: The work done by a variable force is always positive.
Consider the direction of force compared to displacement.
Calculate the work done by a force described by F(x) = 3x² from x = 0 to x = 2.
Set up and calculate the definite integral correctly.
A spring with a force equation F(x)=kx stretches from 0 to 2 m. If k = 100 N/m, calculate the work done.
Don’t forget the half factor in the spring work formula.
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