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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define kinetic energy in the context of free vibration.
💡 Hint: Remember the relationship between mass and velocity in your definition.
Question 2
Easy
What is the formula for potential energy in a mass-spring system?
💡 Hint: Think about the spring constant and how displacement affects energy.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for kinetic energy in a mass-spring system?
- KE = mgh
- KE = 1/2 mv²
- KE = 1/2 kx²
💡 Hint: Which one of these formulas relates to motion?
Question 2
True or False: Potential energy in a mass-spring system is maximum at equilibrium.
- True
- False
💡 Hint: Think about where the spring is compressed or stretched the most.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A mass-spring system oscillates with a mass of 10 kg and a spring constant of 400 N/m. Calculate the total mechanical energy when the displacement is 0.4 m.
💡 Hint: Calculate PE first and remember energy is conserved.
Question 2
Consider a system where the kinetic energy at the equilibrium position is 50 Joules. If the maximum displacement occurs where potential energy is 70 Joules, calculate the total energy of the system.
💡 Hint: Total energy is the sum of both forms at any point in the oscillation.
Challenge and get performance evaluation