What would be the power of an engine which supplies 18 kJ of energy per minute?

Options

A. 200 W
B. 250 W
C. 300 W
D. 1080 W

Explanation

To find the power of an engine that supplies 18 kJ of energy per minute, we can follow these steps:

### Step 1: Understand the relationship between power, work, and time.
Power (P) is defined as the rate at which work (W) is done or energy is transferred. The formula for power is given by:
\[ P = \frac{W}{T} \]
where:
- \( P \) is the power,
- \( W \) is the work done (or energy supplied), and
- \( T \) is the time taken.

### Step 2: Convert the energy from kilojoules to joules.
Since power is typically expressed in watts (W), and 1 watt is equal to 1 joule per second, we need to convert the energy from kilojoules to joules:
\[ 18 \text{ kJ} = 18,000 \text{ J} \]

### Step 3: Convert the time from minutes to seconds.
Next, we need to convert the time from minutes to seconds since power is calculated in joules per second:
\[ 1 \text{ minute} = 60 \text{ seconds} \]
So, \( T = 60 \text{ s} \).

### Step 4: Substitute the values into the power formula.
Now we can substitute the values of \( W \) and \( T \) into the power formula:
\[ P = \frac{W}{T} = \frac{18,000 \text{ J}}{60 \text{ s}} \]

### Step 5: Calculate the power.
Now, we perform the division:
\[ P = \frac{18,000}{60} = 300 \text{ W} \]

### Conclusion:
The power of the engine is **300 watts**.

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