Question

A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done? Responses 705 J 705 J 24,600 J 24,600 J 0 J 0 J 18.2 J 18.2 J

Answer 1

To calculate the work done, we can use the formula:

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

where:
- \( \text{Force} \) is the force applied (36.8 Newtons),
- \( \text{Distance} \) is the distance over which the force is applied (668 meters),
- \( \theta \) is the angle between the force and the direction of motion.

Assuming the force is applied in the direction of motion (which is typically the case unless otherwise specified), \( \cos(\theta) = 1 \).

Substituting the values into the formula:

\[
\text{Work} = 36.8 \, \text{N} \times 668 \, \text{m} \times 1
\]

Calculating this gives:

\[
\text{Work} = 36.8 \times 668 = 24,606.4 \, \text{J}
\]

Since the provided responses are rounded values, the closest answer to our calculation is **24,600 J**.

Thus, the work done is **24,600 J**.