Luke pulls a sled using a force of 65 N for a distance of 25 m across level ground. The rope Luke pulls forms an angle of 25° with the ground.

Question

About how much work does Luke do on the sled?

250 J
690 J
1,500 J
1,600 J

Answer 1

To calculate the work done by Luke on the sled, we can use the formula for work:

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

Where:

• Force (F) = 65 N
• Distance (d) = 25 m
• Angle (θ) = 25°

First, we need to calculate \(\cos(25^\circ)\):

\[ \cos(25^\circ) \approx 0.9063 \]

Now, we can substitute the values into the work formula:

\[ \text{Work} = 65 \text{ N} \times 25 \text{ m} \times 0.9063 \]

Calculating the product step-by-step:

1. \(65 \text{ N} \times 25 \text{ m} = 1625 \text{ N·m}\) (which is equivalent to J)
2. \(1625 \text{ J} \times 0.9063 \approx 1471.59 \text{ J}\)

Rounding gives approximately 1,472 J.

Among the provided options, the closest value is not listed, but we infer that it is reasonable to look for the nearest answer.

Thus, the answer is approximately:

\[ \text{About } 1,500 \text{ J} \]

So the best choice is 1,500 J.