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

1. Break Down the Problem

To find the power of an appliance, we need to use the formula for power, which is defined as the rate at which work is done or energy is transferred.

2. Relevant Concepts

The formula for power $P$ can be expressed as: $P = \frac{E}{t}$ 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 have:

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

Now we will plug these values into the power formula.

Calculation:

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

4. Verify and Summarize

Now, rounding $P$ to two decimal places gives us $P \approx 22.22 \, \text{W}$.

Final Answer

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