Podcast
Questions and Answers
A block is moved from point A to point B on a frictionless surface. Which of the following forces acting on the block would be classified as conservative?
A block is moved from point A to point B on a frictionless surface. Which of the following forces acting on the block would be classified as conservative?
- The applied force if the block is moved at a non-constant speed.
- Air resistance as the block moves.
- The frictional force between the block and the surface.
- The normal force exerted by the surface. (correct)
A small object of mass $m$ is moved between two points in a uniform gravitational field. The work done by gravity depends on which of the following?
A small object of mass $m$ is moved between two points in a uniform gravitational field. The work done by gravity depends on which of the following?
- The vertical displacement between the points. (correct)
- The object's mass and the total distance traveled.
- The speed at which the object is moved.
- The gravitational constant and the object's mass.
A particle moves along five different paths from point A to point B. For which force would the work done on the particle be the same for all five paths?
A particle moves along five different paths from point A to point B. For which force would the work done on the particle be the same for all five paths?
- An applied force that always points along the particle's direction of motion.
- A conservative force. (correct)
- A non-uniform force that varies with time.
- A constant frictional force.
A box is pushed up an inclined plane at a constant speed. Which statement accurately describes the work done by gravity?
A box is pushed up an inclined plane at a constant speed. Which statement accurately describes the work done by gravity?
A simple pendulum is released from rest at an angle $\theta$ with the vertical. What determines the pendulum's speed at the bottom of its swing?
A simple pendulum is released from rest at an angle $\theta$ with the vertical. What determines the pendulum's speed at the bottom of its swing?
Flashcards
What is 'path independence'?
What is 'path independence'?
The independence of work from the path taken.
What is a conservative force?
What is a conservative force?
Force where work done doesn't depend on the path taken.
What are initial and final points?
What are initial and final points?
Work done by a conservative force depends only on these points.
Examples of conservative forces?
Examples of conservative forces?
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Why is gravity a conservative force?
Why is gravity a conservative force?
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Study Notes
- Conservative forces are path-independent.
- The work done by a conservative force depends only on the initial and final positions.
- This means the work done is the same regardless of the path taken between those points.
- Gravity is a conservative force.
- The work done by gravity only depends on the change in height.
- Electrostatic force is a conservative force.
- The work done by the electrostatic force only depends on the initial and final positions of the charges.
- Examples of non-conservative forces include friction and air resistance.
- The work done depends on the path taken for non-conservative forces.
- If the work done by a force in moving an object around a closed loop is zero, the force is conservative.
- The change in potential energy is defined as the negative of the work done by a conservative force.
- For conservative forces, it is possible to define a potential energy function.
- The total mechanical energy (kinetic plus potential) remains constant when only conservative forces are doing work.
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Description
Understand conservative forces like gravity and electrostatic force, where work depends only on initial and final positions, not the path taken. Learn about non-conservative forces like friction, and how potential energy relates to conservative forces.
