Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Energy is defined as the ability or capacity to do work. The standard unit of energy is the Joule ().
Renewable Energy: These are sources that are replenished naturally and do not run out. Examples include Solar energy from the , Wind energy, and Hydro-energy from .
Non-renewable Energy: These sources exist in limited quantities and take millions of years to form. Examples include fossil fuels like , , and .
Law of Conservation of Energy: Energy can neither be created nor destroyed; it can only be transformed from one form to another. For example, in a bulb, Electrical Energy Light Energy + Heat Energy.
Mechanical Energy is the sum of Kinetic Energy (), which is energy due to motion, and Potential Energy (), which is energy due to position or rest.
📐Formulae
, where distance is the displacement in the direction of force.
💡Examples
Problem 1:
A solar power plant generated units of energy on Monday and units on Tuesday. However, units were lost during transmission. Calculate the total usable energy available from these two days.
Solution:
units.
Explanation:
First, we add the energy generated on both days: . Then, we subtract the transmission loss: units.
Problem 2:
A village uses kWh of energy per month. If kWh is provided by non-renewable coal and the rest by wind turbines, how much energy comes from the renewable wind source?
Solution:
Explanation:
To find the renewable energy portion, we subtract the non-renewable energy from the total energy consumption: kWh.