Mnemonic: "Wizards Perform Clever Calculations"
Wizards – Work Done (W = F · d)
Perform – Positive Work (Force and displacement in the same direction)
Clever– Conservative Forces (Work is path-independent)
Calculations – Constant Force Work (W = F.d cosθ)
Work Done (W = F · d): Work is done when a force causes a displacement. It is calculated as the force multiplied by the displacement.
Positive Work: When force and displacement are in the same direction, the work is positive, meaning energy is being transferred to the object.
Conservative Forces: The work done by conservative forces, like gravity or spring forces, is path-independent; it depends only on the initial and final positions, not the path taken.
Constant Force Work: When the force is constant, the work done is the product of the force, the displacement, and the cosine of the angle between them.
Mnemonic: "Kangaroos Play Every Game"
Kinetic Energy (KE = ½ mv²): Kinetic energy is the energy of motion. Any object that is moving has kinetic energy, which depends on the mass (m) and the velocity (v) of the object. The formula is KE = ½ mv², where v is the speed of the object.
Potential Energy (Gravitational, Elastic): Potential energy is stored energy. The two main types of potential energy are gravitational (due to an object's position above the ground) and elastic (stored in objects like springs or rubber bands).
Elastic Potential Energy (U = ½ kx²): This type of potential energy is stored in stretched or compressed springs (or any elastic material). The formula U = ½ kx² represents the elastic potential energy, where k is the spring constant, and x is the displacement from the equilibrium position.
Gravitational Potential Energy (U = mgh): Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. The formula U = mgh shows how the potential energy depends on mass (m), height (h), and the acceleration due to gravity (g).
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