10. Calculate the power of an appliance that transfers 1000 J of energy in 45 s (2dp)

1. Break Down the Problem

To calculate the power of an appliance, we need to understand the relationship between power, energy, and time. Power is defined as the rate at which energy is transferred or converted.

2. Relevant Concepts

The formula for power $P$ is given by:

$P = \frac{E}{t}$

where:

• $P$ is the power in watts (W),
• $E$ is the energy in joules (J),
• $t$ is the time in seconds (s).

3. Analysis and Detail

In this problem, we know:

• $E = 1000 \, \text{J}$
• $t = 45 \, \text{s}$

Now we can substitute these values into the power formula:

$P = \frac{1000 \, \text{J}}{45 \, \text{s}}$

Calculating the value:

$P = \frac{1000}{45} \approx 22.2222 \, \text{W}$

4. Verify and Summarize

The calculation gives us a power of approximately 22.2222 watts, and rounding this to two decimal places yields:

$P \approx 22.22 \, \text{W}$

Final Answer

The power of the appliance is $22.22 \, \text{W}$.