Question

If W = F x d, which of the following equations shows work being calculated using the correct units?
113J = (17.4N) x (6.51m)
113J = (17.4N) x (6.51ft)
113N = (17.4J) x (6.51ft)
113N = (17.4J) x (6.51m)

Answer 1

To determine which equation shows work being calculated using the correct units, let's recall the formula for work:

\[ W = F \times d \]

where:
- \( W \) is work measured in joules (J)
- \( F \) is force measured in newtons (N)
- \( d \) is distance measured in meters (m)

To analyze each equation:

1. **113J = (17.4N) x (6.51m)**: This equation is correct because it calculates work in joules with force in newtons and distance in meters.

2. **113J = (17.4N) x (6.51ft)**: This is incorrect because the units are not consistent. Joules should use meters for distance, not feet.

3. **113N = (17.4J) x (6.51ft)**: This is incorrect. The left side is in newtons, but the right side does not calculate to a force since it incorrectly combines joules and feet.

4. **113N = (17.4J) x (6.51m)**: This is incorrect for the same reason above. The left side should represent work (in joules), and the right side does not correctly represent a force.

Therefore, the only equation that shows work being calculated with the correct units is:

**113J = (17.4N) x (6.51m)**.