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?

1 Answer
Jun 24, 2018

Answer:

#~~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#