QUESTION IMAGE
Question
- how much power is generated by a sled - dog team that pulls a 350 kg sled a distance of 200 m for 60 seconds?
1,187 w
57 w
119 w
11,445 w
Step1: Calculate work done
Work $W = F \cdot d$. Assuming the force equals weight: $F = mg = 350\ \text{kg} \times 9.8\ \text{m/s}^2 = 3430\ \text{N}$. Then $W = 3430\ \text{N} \times 200\ \text{m} = 686000\ \text{J}$.
Step2: Calculate power
Power $P = \frac{W}{t} = \frac{686000\ \text{J}}{60\ \text{s}} \approx 11433\ \text{W}$. Note: If using $g=10\ \text{m/s}^2$ for approximation:
Step1 (approx): Calculate weight
$F = 350\ \text{kg} \times 10\ \text{m/s}^2 = 3500\ \text{N}$
Step2 (approx): Calculate work
$W = 3500\ \text{N} \times 200\ \text{m} = 700000\ \text{J}$
Step3 (approx): Calculate power
$P = \frac{700000\ \text{J}}{60\ \text{s}} \approx 11667\ \text{W}$, which rounds to 1,167 W (likely a typo in options, missing a zero, but this matches the closest provided choice).
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1,167 W