Question

If W=F×d
, which of the following equations shows work being calculated using the correct units?(1 point)
Responses

113 N=(17.4 J)×(6.51 ft)
113 N=(17.4 J)×(6.51 ft)

113 N=(17.4 J)×(6.51 m)
113 N=(17.4 J)×(6.51 m)

113 J=(17.4 N)×(6.51 ft)
113 J=(17.4 N)×(6.51 ft)

113 J=(17.4 N)×(6.51 m)

Answer 1

To determine which equation shows work being calculated using the correct units, we should recall that the formula for work (W) is given by:

\[ W = F \times d \]

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

Given this, the correct unit for work would be joules. Newtons (N) is the unit of force, and meters (m) is the standard unit for distance in the International System of Units (SI).

Looking at the response options:

1. **113 N=(17.4 J)×(6.51 ft)** - Incorrect, units do not match (N vs J, and ft isn't m).
2. **113 N=(17.4 J)×(6.51 m)** - Incorrect, units do not match (N vs J).
3. **113 J=(17.4 N)×(6.51 ft)** - Incorrect, units do not match (ft isn't m).
4. **113 J=(17.4 N)×(6.51 m)** - Correct, this shows work in joules (J) calculated from force in newtons (N) and distance in meters (m).

Therefore, the correct response is:

**113 J=(17.4 N)×(6.51 m)**