Concept Card: Conservative vs. Non-Conservative Forces & Mechanical Energy Conservation 1. Conservative Forces – Definitions & Criteria: A force field $\vec{F}_c$ is conservative if the work done by it in moving a particle between two points depends solely on the initial and final position coordinates, being completely independent of the path taken. Closed-Loop Criterion: The … Read more
Concept Card: Work-Energy Theorem for Constant & Variable Forces 1. Statement & Universal Scope of the Work-Energy Theorem (WET): The net work done by all external and internal forces acting on a body (or system of bodies) equals the total change in its kinetic energy: $$\mathbf{W_{\text{net}} = \Delta K = K_f – K_i = \frac{1}{2}m … Read more
Concept Card: Work Done by Constant & Variable Forces & Kinetic Energy 1. Physical Definition of Mechanical Work: Work is done by a force when its point of application undergoes a displacement having a non-zero component along the line of action of the force. Work Done by a Constant Force ($\vec{F}$): Defined as the scalar … Read more
Work Done by a Constant Force & Dot Product Worksheet This is a worksheet based on lecture “Work Done by Constant Force and Dot Product“ Level 1 Practice Worksheet Questions Q1. The SI unit of work done is equivalent to: (a) $\text{kg}\cdot\text{m/s}$ (b) $\text{kg}\cdot\text{m}^2/\text{s}^2$ (c) $\text{kg}\cdot\text{m}/\text{s}^2$ (d) $\text{kg}\cdot\text{m}^2/\text{s}^3$ Q2. The dimensional formula for work done … Read more
Summary: This is lecture 2 for the topic Work, Energy and Power. You can find notes of lecture 1 for this topic here. 1. Why $W = \vec{F} \cdot \vec{s}$ Fails The formula $W = \vec{F} \cdot \vec{s}$ only applies when the force is strictly constant in both magnitude and direction over the entire displacement. … Read more