Question

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?

Answer 1

`~~740.7 W ~~ 1 hp`

Explanation:

Given: horse moves a sleigh a distance `= 1.00" km"` with force `= 2000 " N"` for `45` minutes

`"Power" = "Work"/"Time"` with units of `[(N*m)/s = J/s = "Watt"]`

`"Work" = "Force" xx "distance"` with units of `[N*m = "Joule" = J]`

Work of the given horse: `W = 2000 N xx 1000 m = 2,000,000 J`

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

`1 " hp" ~~745.7 W`