Question
A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done?(1 point)
Responses
0 J
0 J
705 J
705 J
24,600 J
24,600 J
18.2 J
18.2 J
Responses
0 J
0 J
705 J
705 J
24,600 J
24,600 J
18.2 J
18.2 J
Answers
GPT-4o mini
To calculate the work done (W) by a force (F) over a distance (d), you can use the formula:
\[ W = F \cdot d \]
Where:
- \( W \) is the work done,
- \( F \) is the force applied, and
- \( d \) is the distance over which the force is applied.
In this case, the force \( F \) is 36.8 Newtons and the distance \( d \) is 668 meters.
\[ W = 36.8 \, \text{N} \cdot 668 \, \text{m} \]
Calculating this gives:
\[ W = 36.8 \times 668 = 24,629.4 \, \text{J} \]
Rounding this, the work done is approximately:
\[ W \approx 24,600 \, \text{J} \]
So, the correct response is:
**24,600 J**
\[ W = F \cdot d \]
Where:
- \( W \) is the work done,
- \( F \) is the force applied, and
- \( d \) is the distance over which the force is applied.
In this case, the force \( F \) is 36.8 Newtons and the distance \( d \) is 668 meters.
\[ W = 36.8 \, \text{N} \cdot 668 \, \text{m} \]
Calculating this gives:
\[ W = 36.8 \times 668 = 24,629.4 \, \text{J} \]
Rounding this, the work done is approximately:
\[ W \approx 24,600 \, \text{J} \]
So, the correct response is:
**24,600 J**