Question

A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done?(1 point)
Responses

24,600 J
24,600 J

705 J
705 J

18.2 J
18.2 J

0 J
0 J

Answer 1

To calculate the work done when a force is applied over a distance, we can use the formula:

\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]

where:
- Work is measured in joules (J)
- Force is measured in newtons (N)
- Distance is measured in meters (m)
- \( \theta \) is the angle between the force and the direction of motion.

If the force is applied in the same direction as the motion, \( \theta = 0 \) degrees and \( \cos(0) = 1 \).

In your case:
- Force (F) = 36.8 N
- Distance (d) = 668 m

Assuming the force is applied in the direction of movement, we can calculate work:

\[ \text{Work} = 36.8 \, \text{N} \times 668 \, \text{m} \]

\[ \text{Work} = 24,605.4 \, \text{J} \]

Rounded to three significant figures, this is approximately:

\[ \text{Work} \approx 24,600 \, \text{J} \]

Thus, the correct response is:

**24,600 J**