Differentiate between conservative and non-conservative forces.

Conservative forces: Work done is path-independent, energy is conserved. Non-conservative forces: Work done is path-dependent, energy is not conserved (e.g., converted to heat).

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Differentiate between conservative and non-conservative forces.

Conservative forces: Work done is path-independent, energy is conserved. Non-conservative forces: Work done is path-dependent, energy is not conserved (e.g., converted to heat).

What is the effect of doing positive work on an object?

The object speeds up, increasing its kinetic energy.

What is the effect of doing negative work on an object?

The object slows down, decreasing its kinetic energy.

What happens to the kinetic energy if no net work is done on an object?

The kinetic energy remains constant.

What is the effect of friction on the total energy of a system?

Friction, a non-conservative force, causes energy loss, typically converted to heat.

What are the steps to derive the Work-Energy Theorem?

Start with Newton's Second Law: $F = ma$ . 2. Use the chain rule: $a = v\frac{dv}{dx}$ . 3. Substitute: $F = mv\frac{dv}{dx}$ . 4. Integrate work: $W = \int F dx = \int mv dv$ . 5. Integrate from initial to final velocity to get $W = \Delta KE$ .

How do you calculate work done by a variable force?

The work done by a variable force is the area under a force vs. position graph.

What is the first step in solving a problem using the Work-Energy Theorem?

Always start with a free-body diagram.