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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define linear momentum in mechanics.
💡 Hint: Think about what happens when you multiply mass by speed.
Question 2
Easy
What does density represent?
💡 Hint: Consider how dense materials feel compared to lighter ones.
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 defines linear momentum?
- Mass and velocity
- Force and time
- Density and pressure
💡 Hint: Consider the formula \\(p = mv\\).
Question 2
True or False: Density remains constant in a deforming body.
- True
- False
💡 Hint: Think about how materials react under stress.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A material has a density that varies linearly with position, \(\rho(x) = 5 + x\). Calculate the total linear momentum if the volume of the material is \(V = 10\) and it moves with a velocity of \(v = 2\).
💡 Hint: Break the calculation into components focusing on how density varies with position.
Question 2
Explain how the varying density impacts the rate of change of momentum for a cylindrical rod of length \(L\) compressed under a force.
💡 Hint: Consider the integration of the density and how it contributes to overall momentum change.
Challenge and get performance evaluation