Final answer:
To calculate the total energy consumed by the bulbs in January, multiply the daily energy consumption (1.7 kWh) by the number of days in January (31 days), resulting in a total consumption of 52.7 kWh for the month.
Step-by-step explanation:
The question involves calculating the energy consumption of light bulbs over a certain period, which is a common problem in the subject of Physics. To determine the energy consumed by the electric bulbs in kilowatt-hours (kWh), which is a standard unit of energy consumption, we can use the formula Energy (kWh) = Power (kW) × Time (hours).
First, we will calculate the energy consumed by the 100-watt bulb. Since it is used for 5 hours daily, the daily consumption would be:
Power = 100 watts = 0.1 kW (since 1 kW = 1000 watts)
Time = 5 hours
Energy = Power × Time = 0.1 kW × 5 hours = 0.5 kWh per day
For the four 60-watt bulbs:
Power for one 60-watt bulb = 60 watts = 0.06 kW
Total Power for four 60-watt bulbs = 0.06 kW × 4 = 0.24 kW
Time = 5 hours
Energy = Total Power × Time = 0.24 kW × 5 hours = 1.2 kWh per day for all four bulbs together
Adding the energy consumed by the 100-watt bulb and the four 60-watt bulbs gives total daily energy consumption:
Total daily energy consumption = 0.5 kWh + 1.2 kWh = 1.7 kWh
The month of January typically has 31 days, so the total energy consumed in January would be:
Total monthly energy consumption = 1.7 kWh/day × 31 days = 52.7 kWh
Therefore, the total energy consumed by the bulbs in the month of January would be 52.7 kWh.