Practice Examples - 1.2 | Energy Methods, Force Fields & Central Forces | Engineering Mechanics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for gravitational potential energy?

πŸ’‘ Hint: Think about how height affects energy.

Question 2

Easy

Define a conservative force.

πŸ’‘ Hint: Consider gravity as an example.

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

Which of the following is a characteristic of conservative forces?

  • Work depends on the path taken.
  • Work is independent of the path taken.
  • Work is zero.

πŸ’‘ Hint: Think about gravity.

Question 2

True or False: Non-conservative forces can be represented as a potential energy function.

  • True
  • False

πŸ’‘ Hint: Consider friction.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A particle moves through a conservative force field described by \( F(x) = -kx \). Given that \( V(x) = \frac{1}{2} kx^2 \), verify whether the force is conservative.

πŸ’‘ Hint: Compute the force from potential to check if they match.

Question 2

Two objects interact through a central force. If object A moves closer to object B, analyze the implications using energy and angular momentum principles.

πŸ’‘ Hint: Consider how distance affects energy terms.

Challenge and get performance evaluation