A 899 kg car accelerates from rest up to 26.0 m/s in 6.14 s. What is the average power output of this engine during this time? Number Units (for comparison information there are 746 W for each horse power )
A 899 kg car accelerates from rest up to 26.0 m/s in 6.14 s. What is the average power output of this engine during this time? Number Units (for comparison information there are 746 W for each horse power )
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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![**Problem Description:**
A car with a mass of 899 kg accelerates from rest to a speed of 26.0 meters per second (m/s) in a time span of 6.14 seconds. The task is to determine the average power output of the car's engine during this period.
**Inputs:**
1. **Number:**
(This section is left blank for users to input the calculated power.)
2. **Units:**
(This section is left blank for users to specify the units of the calculated power, typically Watts or horsepower.)
**Additional Information:**
- **Conversion Reference:** There are 746 Watts in one horsepower.
**Explanation:**
To solve this problem, calculate the work done on the car and then determine the power. The work done is equal to the change in kinetic energy of the car, which can be calculated using:
\[ \text{Work} = \frac{1}{2} m v^2 \]
where \( m \) is the mass of the car, and \( v \) is the final velocity.
The average power output is then calculated by dividing the work by the time period:
\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \]
Make sure to include the units in your final answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97a362ec-aada-400e-8e57-2e666083b426%2Faef534a5-7617-4c31-b851-405185e92adc%2Fvscj4uo_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
A car with a mass of 899 kg accelerates from rest to a speed of 26.0 meters per second (m/s) in a time span of 6.14 seconds. The task is to determine the average power output of the car's engine during this period.
**Inputs:**
1. **Number:**
(This section is left blank for users to input the calculated power.)
2. **Units:**
(This section is left blank for users to specify the units of the calculated power, typically Watts or horsepower.)
**Additional Information:**
- **Conversion Reference:** There are 746 Watts in one horsepower.
**Explanation:**
To solve this problem, calculate the work done on the car and then determine the power. The work done is equal to the change in kinetic energy of the car, which can be calculated using:
\[ \text{Work} = \frac{1}{2} m v^2 \]
where \( m \) is the mass of the car, and \( v \) is the final velocity.
The average power output is then calculated by dividing the work by the time period:
\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \]
Make sure to include the units in your final answer.
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