"Give the derived SI units for each of the following quantities in base SI units: (g) energy = mass ⨉ (velocity)²

Key Concepts

SI Units

The International System of Units (SI) is a standardized system of measurement used globally in science and engineering. It is based on seven base units, including the meter for length, kilogram for mass, and second for time. Derived units are formed from these base units to measure other quantities, such as energy, which is expressed in joules.

Energy

Energy is the capacity to do work or produce heat and is a fundamental concept in physics and chemistry. In the context of mechanics, energy can be expressed as the product of mass and the square of velocity, represented mathematically as E = m × v². The derived SI unit for energy is the joule (J), which is equivalent to one kilogram meter squared per second squared (kg·m²/s²).

Derived Units

Derived units are combinations of base SI units that describe physical quantities. For example, energy is a derived unit that combines mass (kilograms), length (meters), and time (seconds) to form joules. Understanding how to derive these units from base units is essential for solving problems in physics and chemistry, as it allows for the conversion and manipulation of different measurements.