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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a variable force and provide an example.
💡 Hint: Think of forces that act differently based on their position.
Question 2
Easy
Explain how you would calculate the work done by a variable force.
💡 Hint: This involves summation and limits, resulting in an integral.
Practice 1 more question and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is work done by a variable force?
- Integral of force over displacement
- Force multiplied by displacement
- The total area under curve
💡 Hint: Think about how we sum up work for small segments.
Question 2
True or False: The work done by a variable force is always positive.
- True
- False
💡 Hint: Consider the direction of force compared to displacement.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Calculate the work done by a force described by F(x) = 3x² from x = 0 to x = 2.
💡 Hint: Set up and calculate the definite integral correctly.
Question 2
A spring with a force equation F(x)=kx stretches from 0 to 2 m. If k = 100 N/m, calculate the work done.
💡 Hint: Don’t forget the half factor in the spring work formula.
Challenge and get performance evaluation