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 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.
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 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
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ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
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![### Problem 37: Energy Consumption of a Toaster
**Question:**
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.
#### Explanation:
To determine the energy consumption of the toaster, we need to convert the power usage and time into the appropriate units.
1. **Power Consumption:**
- The toaster has a power rating of 550 watts (W).
2. **Time of Operation:**
- The toaster is used for 5.0 minutes each morning.
Since energy usage is generally calculated in hours, we convert minutes to hours:
\[
5.0 \text{ minutes} = \frac{5.0}{60} \text{ hours} = 0.0833 \text{ hours}
\]
3. **Energy Consumption:**
- Energy (in kWh) is calculated by multiplying power (in kW) by time (in hours):
\[
\text{Energy} = \text{Power} \times \text{Time} = \left( \frac{550}{1000} \right) \text{ kW} \times 0.0833 \text{ hours} = 0.045815 \text{ kWh}
\]
4. **Cost Calculation Per Morning Usage:**
- The cost per kWh is given as 9.0 cents.
- Therefore, the cost of using the toaster each morning is:
\[
\text{Cost per morning} = 0.045815 \text{ kWh} \times 9.0 \text{ cents/kWh} = 0.412335 \text{ cents}
\]
5. **Monthly Cost Estimation:**
- The toaster is used four mornings a week, so on average in a month (assuming 4 weeks):
\[
\text{Number of uses per month} = 4 \text{ mornings/week} \times 4 \text{ weeks/month} = 16 \text{ mornings/month}
\]
- Monthly cost
\[
\text{Total monthly cost} = 0.412335 \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e3cfccc-6c9d-447b-a87f-36bbad3c7b59%2Fc6564210-78da-457c-8d3f-f528aaa1e94d%2Fk4fixkr_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem 37: Energy Consumption of a Toaster
**Question:**
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.
#### Explanation:
To determine the energy consumption of the toaster, we need to convert the power usage and time into the appropriate units.
1. **Power Consumption:**
- The toaster has a power rating of 550 watts (W).
2. **Time of Operation:**
- The toaster is used for 5.0 minutes each morning.
Since energy usage is generally calculated in hours, we convert minutes to hours:
\[
5.0 \text{ minutes} = \frac{5.0}{60} \text{ hours} = 0.0833 \text{ hours}
\]
3. **Energy Consumption:**
- Energy (in kWh) is calculated by multiplying power (in kW) by time (in hours):
\[
\text{Energy} = \text{Power} \times \text{Time} = \left( \frac{550}{1000} \right) \text{ kW} \times 0.0833 \text{ hours} = 0.045815 \text{ kWh}
\]
4. **Cost Calculation Per Morning Usage:**
- The cost per kWh is given as 9.0 cents.
- Therefore, the cost of using the toaster each morning is:
\[
\text{Cost per morning} = 0.045815 \text{ kWh} \times 9.0 \text{ cents/kWh} = 0.412335 \text{ cents}
\]
5. **Monthly Cost Estimation:**
- The toaster is used four mornings a week, so on average in a month (assuming 4 weeks):
\[
\text{Number of uses per month} = 4 \text{ mornings/week} \times 4 \text{ weeks/month} = 16 \text{ mornings/month}
\]
- Monthly cost
\[
\text{Total monthly cost} = 0.412335 \
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