# A horse moves a sleigh 1.00 kilometer by applying a horizontal 2,000-newton force on its harness for 45 minutes. What is the power of the horse?

Jun 24, 2018

$\approx 740.7 W \approx 1 h p$

#### Explanation:

Given: horse moves a sleigh a distance $= 1.00 \text{ km}$ with force $= 2000 \text{ N}$ for $45$ minutes

$\text{Power" = "Work"/"Time}$ with units of $\left[\frac{N \cdot m}{s} = \frac{J}{s} = \text{Watt}\right]$

$\text{Work" = "Force" xx "distance}$ with units of $\left[N \cdot m = \text{Joule} = J\right]$

Work of the given horse: $W = 2000 N \times 1000 m = 2 , 000 , 000 J$

"Power" = (2,000,000 J) /(45 min) xx (1 min)/(60 s) ~~ 740.7 " Watts"

$1 \text{ hp} \approx 745.7 W$