A horse moves a sleigh 1.00 kilometers by applying a horizontal force of 2000 Newtons on its harness for 45 minutes. What is the power of the horse?

-- If 2,000 newtons of force were applied through a distance of 1,000 meters, then 2,000,000 newton-meters = 2,000,000 joules of work were done.
-- 45 minutes = (45 x 60) = 2,700 seconds
-- Power = (work) / (time) = (2,000,000 j) / (2,700 s) = 740.74 watts
Interestingly, that's almost exactly 1 horsepower. (0.99295... of 746 watts)

Answered by AL2006 | 2024-06-10

To calculate the power of the horse, we first need to understand what power represents in a physical context.
Power is the rate at which work is done or energy is transferred over time. It can be calculated using the formula Power = Work / Time, where work is the product of force and distance (Work = Force × Distance), and Time is the duration over which the force is applied.
In this case, a horse moves a sleigh 1.00 kilometers (which is 1,000 meters, since 1 km = 1,000 m) by applying a horizontal force of 2000 Newtons for 45 minutes (which is 2,700 seconds, since 45 minutes = 45 × 60 seconds).
First, calculate the work done by the horse: Work = Force × Distance = 2000 N × 1000 m = 2,000,000 Joules (J).
Next, convert the time from minutes to seconds to maintain consistent units: Time = 45 minutes = 2,700 seconds.
Finally, calculate the power by dividing the work by the time: Power = Work Time = 2,000,000 J / 2,700 s = 740.74 Watts (W).

Answered by EveArden | 2024-06-24

The horse applies a force of 2000 Newtons to move a sleigh 1.00 kilometers in 45 minutes, performing approximately 740.74 watts of power, which is nearly equivalent to 1 horsepower.
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Answered by AL2006 | 2024-10-06