QUESTION IMAGE
Question
dp 6.1 – potential and kinetic energy
score _______
- energy of motion is called _____________.
- the joule is an abbreviation for what combination of units?
Step1: Recall joule definition
The joule is the SI unit of work/energy, defined as work done by a 1 newton force over 1 meter.
Step2: Expand newton to base units
1 newton = $1\ \text{kg} \cdot \frac{\text{m}}{\text{s}^2}$, so substitute into joule definition.
<Expression>
$1\ \text{joule} = 1\ \text{N} \cdot \text{m} = 1\ \text{kg} \cdot \frac{\text{m}}{\text{s}^2} \cdot \text{m} = 1\ \text{kg} \cdot \text{m}^2/\text{s}^2$
</Expression>
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- kinetic energy
- The joule is equivalent to $\boldsymbol{\text{kilogram}\cdot\text{meter}^2/\text{second}^2}$ (or $\boldsymbol{\text{kg}\cdot\text{m}^2/\text{s}^2}$), which comes from combining newton (force unit) and meter (distance unit), since $1\ \text{J} = 1\ \text{N}\cdot\text{m}$.