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 m)
113 N=(17.4 J)×(6.51 m)

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

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 the equation that shows work being calculated using the correct units, we need to review 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)

From the options provided:

1. **113 N = (17.4 J) × (6.51 m)**
(Incorrect, because the left side is in newtons while the right side should result in newtons)

2. **113 N = (17.4 J) × (6.51 ft)**
(Incorrect for the same reason as above, plus feet is not the standard unit for work)

3. **113 J = (17.4 N) × (6.51 ft)**
(Incorrect, as it mixes units - feet with newtons cannot produce joules)

4. **113 J = (17.4 N) × (6.51 m)**
(Correct, because this keeps the units consistent. Newtons multiplied by meters gives joules)

Therefore, the correct answer is:

**113 J = (17.4 N) × (6.51 m)**