WORK ENERGY AND POWER

Work, energy, and power are fundamental concepts in physics, especially relevant to mechanics. Here’s a brief overview:

1. Work:

• Definition: Work is done when a force causes a displacement in the direction of the force.
• Formula: $$W=F\cdot d\cdot \cos \theta$$ Where:
  • $W$ is the work done,
  • $F$ is the applied force,
  • $d$ is the displacement,
  • $\theta$ is the angle between the force and displacement direction.
• Units: Joules (J)

2. Energy:

• Definition: Energy is the capacity to do work.
• Types of Energy:
  • Kinetic Energy (KE): Energy due to motion. KE=12mv2KE = \frac{1}{2} mv^2KE=21​mv2 Where $m$ is mass, and $v$ is velocity.
  • Potential Energy (PE): Energy due to position. For gravitational potential energy: $$PE=mgh$$ Where $m$ is mass, $g$ is acceleration due to gravity, and $h$ is height.
• Units: Joules (J)

3. Power:

• Definition: Power is the rate at which work is done or energy is transferred.
• Formula: P=WtP = \frac{W}{t}P=tW​ Where:
  • $P$ is power,
  • $W$ is work done,
  • $t$ is time.
• Units: Watts (W)
  1 Watt = 1 Joule/second.

Law of Conservation of Energy:

Energy cannot be created or destroyed, only transformed from one form to another.