Practice Examples (1.2) - Energy Methods, Force Fields & Central Forces
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Practice - Examples - 1.2

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Practice Questions

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Question 1 Easy

What is the formula for gravitational potential energy?

💡 Hint: Think about how height affects energy.

Question 2 Easy

Define a conservative force.

💡 Hint: Consider gravity as an example.

4 more questions available

Interactive Quizzes

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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.

💡 Hint: Think about gravity.

Question 2

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

True
False

💡 Hint: Consider friction.

1 more question available

Challenge Problems

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Challenge 1 Hard

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.

💡 Hint: Compute the force from potential to check if they match.

Challenge 2 Hard

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

💡 Hint: Consider how distance affects energy terms.

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