The unit horsepower (hp) is a unit of measurement of power (the rate at which work is done) frequently used in reference to the output of engines or motors. One metric horsepower is defined as the power required for a horse, attached to a mass with a rope on an elevated pulley as pictured below, to raise a mass of 75 kilograms against the Earth's gravitational force over a distance of 1 meter in a duration of 1 second. The metric horsepower At = 1 s Ah = 1 m m = 75 kg Recall that the SI unit of power is the Watt (W) and it can be broken down into other SI units as follows: 1 W = 1 W att =1 J/s =1 N · m/s = 1 kg · m²/s³ (a.) How much work is done by the horse? Assume no resistive forces are acting, and assume the horse stops moving once the 1 second time interval has elapsed. Use energy considerations (think about the changes in kinetic and potential energies) and the work-energy theorem to find the work done on the box by the horse. (b.) Compute the power output by the horse during the 1 second time interval. This will give you the SI expression for (metric) horsepower in Watts. (c.) Another unit of power called donkeypower (dp) is defined to be one-third of a horsepower: 1 dp %3D 1/3 һр. A typical mainstream American car engine outputs approximately 180 hp. What is the power output of such an engine in Watts? What is it in donkeypower?
The unit horsepower (hp) is a unit of measurement of power (the rate at which work is done) frequently used in reference to the output of engines or motors. One metric horsepower is defined as the power required for a horse, attached to a mass with a rope on an elevated pulley as pictured below, to raise a mass of 75 kilograms against the Earth's gravitational force over a distance of 1 meter in a duration of 1 second. The metric horsepower At = 1 s Ah = 1 m m = 75 kg Recall that the SI unit of power is the Watt (W) and it can be broken down into other SI units as follows: 1 W = 1 W att =1 J/s =1 N · m/s = 1 kg · m²/s³ (a.) How much work is done by the horse? Assume no resistive forces are acting, and assume the horse stops moving once the 1 second time interval has elapsed. Use energy considerations (think about the changes in kinetic and potential energies) and the work-energy theorem to find the work done on the box by the horse. (b.) Compute the power output by the horse during the 1 second time interval. This will give you the SI expression for (metric) horsepower in Watts. (c.) Another unit of power called donkeypower (dp) is defined to be one-third of a horsepower: 1 dp %3D 1/3 һр. A typical mainstream American car engine outputs approximately 180 hp. What is the power output of such an engine in Watts? What is it in donkeypower?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Recall that the SI unit of power is the **Watt (W)** and it can be broken down into other SI units as follows:
\[ 1\, W = 1\, Watt = 1\, J/s = 1\, N \cdot m/s = 1\, kg \cdot m^2/s^3 \]
### Problems to Solve
**(a.)** How much work is done by the horse? Assume no resistive forces are acting, and assume the horse stops moving once the 1 second time interval has elapsed. Use energy considerations (think about the changes in kinetic and potential energies) and the work-energy theorem to find the work done on the box by the horse.
**(b.)** Compute the power output by the horse during the 1 second time interval. This will give you the SI expression for (metric) horsepower in Watts.
**(c.)** Another unit of power called **donkeypower (dp)** is defined to be one-third of a horsepower:
\[ 1\, dp = 1/3\, hp \]
A typical mainstream American car engine outputs approximately 180 hp. What is the power output of such an engine in Watts? What is it in donkeypower?
---
### Explanation of Diagram
The diagram illustrates a horse attached to a mass via a rope that runs over an elevated pulley. The mass is 75 kg and is raised to a height of 1 meter in 1 second. The change in height (Δh) is marked, and the time interval (Δt) is shown as 1 second. The arrangement visually demonstrates the definition of metric horsepower, emphasizing the relationship between the force exerted](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6901fe3d-f3ec-433a-8b41-134db59043b6%2F9beb16ea-b402-40b4-a081-62ad6f279e57%2Fl3c5vbe_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 8. Work, Energy, & Power**
The unit **horsepower (hp)** is a unit of measurement of **power** (the rate at which work is done) frequently used in reference to the output of engines or motors.
One *metric horsepower* is defined as the power required for a horse, attached to a mass with a rope on an elevated pulley as pictured below, to raise a mass of 75 kilograms against the Earth’s gravitational force over a distance of 1 meter in a duration of 1 second.
### The Metric Horsepower
- **Δt = 1 s**
- **Δh = 1 m**
- **m = 75 kg**
Recall that the SI unit of power is the **Watt (W)** and it can be broken down into other SI units as follows:
\[ 1\, W = 1\, Watt = 1\, J/s = 1\, N \cdot m/s = 1\, kg \cdot m^2/s^3 \]
### Problems to Solve
**(a.)** How much work is done by the horse? Assume no resistive forces are acting, and assume the horse stops moving once the 1 second time interval has elapsed. Use energy considerations (think about the changes in kinetic and potential energies) and the work-energy theorem to find the work done on the box by the horse.
**(b.)** Compute the power output by the horse during the 1 second time interval. This will give you the SI expression for (metric) horsepower in Watts.
**(c.)** Another unit of power called **donkeypower (dp)** is defined to be one-third of a horsepower:
\[ 1\, dp = 1/3\, hp \]
A typical mainstream American car engine outputs approximately 180 hp. What is the power output of such an engine in Watts? What is it in donkeypower?
---
### Explanation of Diagram
The diagram illustrates a horse attached to a mass via a rope that runs over an elevated pulley. The mass is 75 kg and is raised to a height of 1 meter in 1 second. The change in height (Δh) is marked, and the time interval (Δt) is shown as 1 second. The arrangement visually demonstrates the definition of metric horsepower, emphasizing the relationship between the force exerted
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