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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Question
![**Problem Statement:**
A 475 kg pre-stressed concrete beam is raised 10.0 m in 24.0 s. How many kilowatts of power are needed for the job?
**Explanation:**
In this problem, you're asked to calculate the power required to lift a certain mass over a specified height and time. The key concepts involved include:
- **Mass (m):** 475 kg
- **Height (h):** 10.0 m
- **Time (t):** 24.0 s
- **Power (P):** The rate at which work is done, measured in kilowatts (kW).
The solution involves:
1. Calculating the gravitational force (weight) using \( F = mg \), where \( g = 9.81 \, \text{m/s}^2 \).
2. Finding the work done using \( W = Fh \).
3. Determining power using \( P = \frac{W}{t} \).
4. Converting the result to kilowatts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc463f08e-ec7e-4810-a9a2-5563bca4d00b%2Fbf0a1b08-70a3-4f57-bbbe-82df994e62d9%2Few0oaxh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A 475 kg pre-stressed concrete beam is raised 10.0 m in 24.0 s. How many kilowatts of power are needed for the job?
**Explanation:**
In this problem, you're asked to calculate the power required to lift a certain mass over a specified height and time. The key concepts involved include:
- **Mass (m):** 475 kg
- **Height (h):** 10.0 m
- **Time (t):** 24.0 s
- **Power (P):** The rate at which work is done, measured in kilowatts (kW).
The solution involves:
1. Calculating the gravitational force (weight) using \( F = mg \), where \( g = 9.81 \, \text{m/s}^2 \).
2. Finding the work done using \( W = Fh \).
3. Determining power using \( P = \frac{W}{t} \).
4. Converting the result to kilowatts.
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