Answer :
To determine how much energy a 900 W (Watt) kettle consumes in 5 minutes, we can use the formula for energy consumption in electrical devices. The energy consumed (E) is calculated as:
[tex]\[ \text{Energy (in Joules)} = \text{Power (in Watts)} \times \text{Time (in Seconds)} \][/tex]
Let's follow the solution step by step:
1. Identify the given values:
- Power ([tex]\( P \)[/tex]) = 900 W
- Time ([tex]\( t \)[/tex]) = 5 minutes
2. Convert the time from minutes to seconds:
Since energy is typically calculated in seconds (s), we need to convert the given time from minutes into seconds.
[tex]\[ 1 \text{ minute} = 60 \text{ seconds} \][/tex]
Therefore,
[tex]\[ 5 \text{ minutes} \times 60 \text{ seconds/minute} = 300 \text{ seconds} \][/tex]
3. Calculate the energy consumed:
Substitute the power and the converted time into the formula.
[tex]\[ \text{Energy} = 900 \text{ W} \times 300 \text{ s} \][/tex]
4. Perform the multiplication:
[tex]\[ \text{Energy} = 900 \times 300 = 270,000 \text{ Joules} \][/tex]
Therefore, the energy consumed by the 900 W kettle in 5 minutes is 270,000 Joules.
[tex]\[ \text{Energy (in Joules)} = \text{Power (in Watts)} \times \text{Time (in Seconds)} \][/tex]
Let's follow the solution step by step:
1. Identify the given values:
- Power ([tex]\( P \)[/tex]) = 900 W
- Time ([tex]\( t \)[/tex]) = 5 minutes
2. Convert the time from minutes to seconds:
Since energy is typically calculated in seconds (s), we need to convert the given time from minutes into seconds.
[tex]\[ 1 \text{ minute} = 60 \text{ seconds} \][/tex]
Therefore,
[tex]\[ 5 \text{ minutes} \times 60 \text{ seconds/minute} = 300 \text{ seconds} \][/tex]
3. Calculate the energy consumed:
Substitute the power and the converted time into the formula.
[tex]\[ \text{Energy} = 900 \text{ W} \times 300 \text{ s} \][/tex]
4. Perform the multiplication:
[tex]\[ \text{Energy} = 900 \times 300 = 270,000 \text{ Joules} \][/tex]
Therefore, the energy consumed by the 900 W kettle in 5 minutes is 270,000 Joules.
