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
18.2 J
705 J
24,600 J
Responses
0 J
18.2 J
705 J
24,600 J
Answers
GPT-4o mini
To calculate the work done, you 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.
Assuming the force is applied in the direction of the motion (which means \(\theta = 0\) degrees and \(\cos(0) = 1\)), the work done can be calculated as:
\[ \text{Work} = 36.8 \, \text{N} \times 668 \, \text{m} \]
Calculating this gives:
\[ \text{Work} = 36.8 \times 668 = 24,598.4 \, \text{J} \]
Rounding that off, the work done is approximately **24,600 J**.
So the correct response is:
**24,600 J**.
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
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.
Assuming the force is applied in the direction of the motion (which means \(\theta = 0\) degrees and \(\cos(0) = 1\)), the work done can be calculated as:
\[ \text{Work} = 36.8 \, \text{N} \times 668 \, \text{m} \]
Calculating this gives:
\[ \text{Work} = 36.8 \times 668 = 24,598.4 \, \text{J} \]
Rounding that off, the work done is approximately **24,600 J**.
So the correct response is:
**24,600 J**.