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Joules: Check the Duration

Use both power and time, and distinguish comparisons from successive intervals.

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For constant power, E = P x t. Watts multiplied by seconds give joules. Compare alternative runs separately; do not add them as if both happened in sequence. When separate intervals are explicitly successive, add their energies. A longer run at the same power transfers more energy without changing power. Use only paper records, not real equipment or waiting.

Worked example

At constant 3 W, a 2-second run transfers 6 J. A 4-second run instead transfers 12 J. These are alternative runs, so 18 J is not the energy of either one. If a different record explicitly says 2 seconds followed by another 4 seconds at 3 W, that six-second run does transfer 18 J.

Two separate model runs at 3 watts: 2 seconds gives 6 joules and 4 seconds instead gives 12 joules. Zero-aligned energy bars use one scale and the 12-joule bar is twice as long.
The word instead makes these alternatives, not two successive parts of one run.
Question 1 At a constant 0.25 W for 12 seconds, how much energy is transferred?
Question 2 The same 0.25 W model runs for 24 seconds instead. What are its power and energy?
Question 3 Compare model A at 2 W for 5 seconds with model B at 1 W for 10 seconds. Which transfers more energy?
Question 4 A model transfers 7 J in one interval, then 2 J in a separate next interval. What is the combined energy?
Question 5 A record gives a constant power of 0.6 W. What else is needed to calculate the transferred energy?