Which of the following is equivalent to 1 joule?Question 1Select one:a.kg · m2 · s2b.kg · s2/mc.kg · m/sd.kg · m/s2e.kg · m2/s2

Break Down the Problem

1. Identify the units of joules and relate them to the options provided.

Relevant Concepts

2. The formula for energy in joules (J) is given by: $1 \text{ Joule} = 1 \text{ kg} \cdot \frac{\text{m}^2}{\text{s}^2}$ This indicates that 1 joule is equivalent to 1 kilogram meter squared per second squared.

Analysis and Detail

3. Let's analyze each option:
   • a. kg · m² · s²: Incorrect, as this is not the correct representation.
   • b. kg · s²/m: Incorrect, this represents something different.
   • c. kg · m/s: Incorrect, as this is a representation of momentum.
   • d. kg · m/s²: Incorrect, this represents force (Newton).
   • e. kg · m²/s²: Correct, as it matches the definition for joules.

Verify and Summarize

4. Upon verifying each option, we find that option e is the only one that coincides with the correct dimensional analysis for joules.

Final Answer

The equivalent of 1 joule is e. kg · m²/s².