If , a machine gun fires n bullets per second each with kinetic energy K, then the power of the machine gun is

Options

A. `nK^(2)`
B. `(K)/(n)`
C. `n^(2)K`
D. nk

Explanation

To solve the problem, we need to find the power of a machine gun that fires \( n \) bullets per second, each with a kinetic energy \( K \).

### Step-by-step Solution:

1. **Understand the Concept of Power**:
Power is defined as the rate at which work is done. Mathematically, it can be expressed as:
\[ P = \frac{\text{Work Done}}{\text{Time Taken}} \]

2. **Identify the Work Done**:
In this scenario, the work done by the machine gun can be considered as the total change in kinetic energy of the bullets fired. Since each bullet has a kinetic energy \( K \) and \( n \) bullets are fired per second, the total kinetic energy imparted in one second is:
\[ \text{Total Kinetic Energy} = n \times K \]

3. **Determine the Time Taken**:
The time taken for firing \( n \) bullets is 1 second, as stated in the problem.

4. **Calculate the Power**:
Now, substituting the values into the power formula:
\[ P = \frac{\text{Total Work Done}}{\text{Time Taken}} = \frac{n \times K}{1} = n \times K \]

5. **Final Result**:
Therefore, the power of the machine gun is:
\[ P = nK \]

### Conclusion:
The power of the machine gun is \( nK \).

---