Revise later
SpaceTo flip
If confident
All Flashcards
What are the steps to derive the Work-Energy Theorem?
1. 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.
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).
Define 'Work' in physics.
Work is the result of a force causing displacement. Mathematically, it's $W = Fd\cos\theta$, where $F$ is force, $d$ is displacement, and $\theta$ is the angle between them.
What is Kinetic Energy (KE)?
Kinetic Energy is the energy of motion. It's calculated as $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is velocity.
Define the Work-Energy Theorem.
The net work done on an object equals the object’s change in kinetic energy.
What are conservative forces?
Conservative forces (like gravity and springs) depend only on position.
What are non-conservative forces?
Non-conservative forces (like friction and air resistance) depend on velocity.