A joule (J) is the unit of measure of

Question

BlackTom AI · Accepted Answer

Work, kinetic energy and potential energy are all measured in joules because they have the same derived SI unit: force times distance (N·m), which equals kg·m^2/s^2.

1) Relevant knowledge points and concepts
- Work (W) is defined as the dot product of force and displacement: W = F · d. Its SI unit is newton‑metre (N·m), named the joule (J).
- Kinetic energy (KE) of a moving object: KE = 1/2 mv^2. Its unit comes from mass times velocity squared.
- Gravitational potential energy (PE) near Earth: PE = mgh. Its unit comes from mass × gravitational acceleration × height.
- Derived unit relationships: 1 N = 1 kg·m/s^2, so 1 J = 1 N·m = 1 kg·m^2/s^2.

2) Step‑by‑step reasoning and unit derivations
- For work: W = F·d → units: N·m. Substitute N: (kg·m/s^2)·m = kg·m^2/s^2 = J.
- For kinetic energy: KE = (1/2) m v^2 → units: kg · (m/s)^2 = kg·m^2/s^2 = J.
- For potential energy: PE = m g h → units: kg · (m/s^2) · m = kg·m^2/s^2 = J.

3) Intermediate steps shown explicitly
- 1 N = 1 kg·m/s^2
- 1 J = 1 N·m = (1 kg·m/s^2)·m = 1 kg·m^2/s^2

4) Why the correct answer is correct
Because work, kinetic energy, and potential energy all reduce algebraically to the same base units (kg·m^2/s^2), each is measured in joules. The joule is the standard SI unit for any form of energy and for mechanical work.

5) Why the other options are incorrect (brief)
- Selecting only (a), (b), or (c) is incomplete: while each is true individually (a joule measures potential energy, or kinetic energy, or work), the only fully correct choice is the one that includes all three.

Conclusion: therefore the correct answer is d. all of the above, which matches the provided answer.

A joule (J) is the unit of measure ofSingle choice

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