Which of the following is the correct SI unit for $Work$?

• A. $J$ (joule)
• B. $W$ (watt)
• C. $N$ (newton)
• D. $\mathrm{Pa}$ (pascal)

Answer: (A)

Verified step by step guidance

1. Understand that work in physics is defined as the product of force applied and the displacement in the direction of the force.
2. Recall the formula for work: \(W = F \times d\), where \(W\) is work, \(F\) is force in newtons (N), and \(d\) is displacement in meters (m).
3. Recognize that the SI unit of force is the newton (N), which is equivalent to \(\mathrm{kg \cdot m/s^2}\), and displacement is measured in meters (m).
4. Calculate the unit of work by multiplying the units of force and displacement: \(\mathrm{N \times m = (kg \cdot m/s^2) \times m = kg \cdot m^2/s^2}\).
5. Identify that the derived SI unit \(\mathrm{kg \cdot m^2/s^2}\) is called the joule (J), which is the correct SI unit for work.