5.6 - THE WORK-ENERGY THEOREM FOR A VARIABLE FORCE
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Practice Questions
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What does the work-energy theorem state?
💡 Hint: Think about the relationship between work and energy changes.
Define variable force.
💡 Hint: Consider forces like gravity that can vary with position.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the work-energy theorem?
💡 Hint: Think about how work relates to energy changes.
True or False: The work done on an object by a constant force can be measured without knowing the distance moved.
💡 Hint: Recall the formula for work done.
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Challenge Problems
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A variable force is defined as F(x) = 2 + 4x - x^2. Calculate the work done by this force as a particle moves from x = 0 to x = 3.
💡 Hint: Solve the integral carefully and compute the limits.
A truck starts from rest and travels 100 m while experiencing a constant variable acceleration. Calculate the net work done on the truck if its final speed is 20 m/s.
💡 Hint: You need the mass of the truck to proceed with calculations.
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