4a._work_energy_power (1)

Work 🛠️

The application of force 💪 across a distance 📏, resulting in a change in energy ⚡ within a system. Work occurs when an object is moved by a force.

Unit of work 📏⚙️

The standard measure for work is the joule (J), which equals one newton-meter (N·m). It quantifies the energy transferred when a force acts over a distance.

Law of Conservation of Energy ♻️

This essential principle asserts that energy cannot be created or annihilated; it can only change forms while maintaining a constant total energy in a closed system.

Work formula for a constant force 🧮

To calculate work done by a constant force, use the equation: W = Fd, where: - W = work done, - F = applied force, - d = distance moved in the force's direction.

Work done at an angle 📐

When a force is applied at an angle to the direction of movement, work done is computed as: W = Fd cos(θ), where: - θ = the angle between the force applied and the direction of motion.

Kinetic energy 🔄

This is the energy an object has due to its motion, expressed mathematically as: K = (1/2)mv², where: - m = mass of the object, - v = velocity.

Potential energy ⛰️

The energy stored in an object due to its position or configuration, commonly expressed as gravitational potential energy: U = mgh, where: - m = mass, - g = acceleration due to gravity, - h = height from a reference point.

Power ⚡

The rate at which work is accomplished or energy is transferred, measured in watts (W), where 1 watt = 1 joule per second (1 W = 1 J/s).

Zero work 🚫

Work is zero when a force is applied perpendicular to the direction of movement; hence, no energy transfer occurs in that direction.

Mechanical energy conservation 🏗️

In the absence of nonconservative forces (like friction), the total mechanical energy of a system is constant: E_initial = E_final, indicating that the total of potential and kinetic energy remains unchanged.

What is energy? 💡✨

Energy is defined as the capacity to perform work or generate heat, existing in various forms such as kinetic ⚡, potential 🏋️, thermal 🔥, and chemical 🧪 energy.

What is the relationship between work and energy? 🔄🤝

Work represents a transfer of energy; when work is done on a system, energy moves to or from it, altering its energy state. This relationship is expressed as: W = ΔE, where ΔE signifies the energy change.