(II) How many kWh of energy does a 550-W toaster use in the morning if it is in operation for a total of 5.0 min? At a cost of 9.0 cents/kWh, estimate how much this would add to your monthly electric energy bill if you made toast four mornings per week.
(II) How many kWh of energy does a 550-W toaster use in the morning if it is in operation for a total of 5.0 min? At a cost of 9.0 cents/kWh, estimate how much this would add to your monthly electric energy bill if you made toast four mornings per week.
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 37
**(II) How many kWh of energy does a 550-W toaster use in the morning if it is in operation for a total of 5.0 minutes? At a cost of 9.0 cents/kWh, estimate how much this would add to your monthly electric energy bill if you made toast four mornings per week.**
### Energy Consumption Calculation:
1. **Convert the operation time to hours:**
\[
5.0 \text{ minutes} = \frac{5.0}{60} \text{ hours} = 0.0833 \text{ hours}
\]
2. **Calculate the energy usage in kWh:**
\[
\text{Energy (kWh)} = \text{Power (kW)} \times \text{Time (hours)}
\]
\[
\text{Power} = 550 \text{ W} = 0.550 \text{ kW}
\]
\[
\text{Energy} = 0.550 \text{ kW} \times 0.0833 \text{ hours} = 0.045815 \text{ kWh}
\]
### Monthly Cost Calculation:
1. **Estimate the weekly energy consumption:**
\[
\text{Weekly energy} = \text{Daily energy} \times 4 \text{ days/week}
\]
\[
\text{Weekly energy} = 0.045815 \text{ kWh/day} \times 4 \text{ days/week} = 0.18326 \text{ kWh/week}
\]
2. **Convert the weekly usage to monthly:**
\[
\text{Monthly energy} = \text{Weekly energy} \times 4 \text{ weeks/month}
\]
\[
\text{Monthly energy} = 0.18326 \text{ kWh/week} \times 4 \text{ weeks/month} = 0.73304 \text{ kWh/month}
\]
3. **Calculate the monthly cost:**
\[
\text{Monthly cost} = \text{Monthly energy} \times \text{Cost per kWh}
\]
\[
\text{Monthly cost} = 0.73304 \text{ kWh/month](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d3f54ef-f765-47f8-9b56-6f713dd53ab6%2Fe8dc1c4d-c54b-4942-a1cd-1c36dfe508b9%2Fqhd21s_processed.png&w=3840&q=75)
Transcribed Image Text:### Question 37
**(II) How many kWh of energy does a 550-W toaster use in the morning if it is in operation for a total of 5.0 minutes? At a cost of 9.0 cents/kWh, estimate how much this would add to your monthly electric energy bill if you made toast four mornings per week.**
### Energy Consumption Calculation:
1. **Convert the operation time to hours:**
\[
5.0 \text{ minutes} = \frac{5.0}{60} \text{ hours} = 0.0833 \text{ hours}
\]
2. **Calculate the energy usage in kWh:**
\[
\text{Energy (kWh)} = \text{Power (kW)} \times \text{Time (hours)}
\]
\[
\text{Power} = 550 \text{ W} = 0.550 \text{ kW}
\]
\[
\text{Energy} = 0.550 \text{ kW} \times 0.0833 \text{ hours} = 0.045815 \text{ kWh}
\]
### Monthly Cost Calculation:
1. **Estimate the weekly energy consumption:**
\[
\text{Weekly energy} = \text{Daily energy} \times 4 \text{ days/week}
\]
\[
\text{Weekly energy} = 0.045815 \text{ kWh/day} \times 4 \text{ days/week} = 0.18326 \text{ kWh/week}
\]
2. **Convert the weekly usage to monthly:**
\[
\text{Monthly energy} = \text{Weekly energy} \times 4 \text{ weeks/month}
\]
\[
\text{Monthly energy} = 0.18326 \text{ kWh/week} \times 4 \text{ weeks/month} = 0.73304 \text{ kWh/month}
\]
3. **Calculate the monthly cost:**
\[
\text{Monthly cost} = \text{Monthly energy} \times \text{Cost per kWh}
\]
\[
\text{Monthly cost} = 0.73304 \text{ kWh/month
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