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28. how much power is generated by a sled - dog team that pulls a 350 k…

Question

  1. 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

Explanation:

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).

Answer:

1,167 W