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

Responses

18.2 J
18.2 J

24,600 J
24,600 J

0 J
0 J

705 J

1 answer

To find the work done, we can use the formula for work:

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

In this case, the force is 36.8 Newtons, and the distance is 668 meters. Assuming the force is applied in the direction of motion (which means \(\theta = 0\) degrees and \(\cos(0) = 1\)), the formula simplifies to:

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

Calculating this gives:

\[ \text{Work} = 36.8 \times 668 = 24,614.4 , \text{J} \]

Rounding to three significant figures, we get:

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

Therefore, the correct response is 24,600 J.