Linear mapping/R to R/Physics examples/Proportionality/Exercise

Interpret the following physical laws as linear functions from ${}\mathbb {R}$ to ${}\mathbb {R}$. Establish, in each situation, what is the measurable variable and what is the proportionality factor.

1. Mass is volume times density.
2. Energy is mass times the calorific value.
3. The distance is speed multiplied by time.
4. Force is mass times acceleration.
5. Energy is force times distance.
6. Energy is power times time.
7. Voltage is resistance times electric current.
8. Charge is current multiplied by time.

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