An electric motor creates a tension of `4500` newton in a hoisting cable and reels it at the rate of `2 m//s`. What is the power of the motor ?

Options

A. 15 kW
B. 9 kW
C. 225 W
D. 9000 kW

Explanation

To solve the problem of finding the power of the electric motor, we can use the formula for power in terms of force and velocity. Here’s a step-by-step solution:

### Step 1: Identify the given values
- Tension (Force, F) = 4500 N
- Velocity (V) = 2 m/s

### Step 2: Use the power formula
Power (P) can be calculated using the formula:
\[ P = F \times V \]
where:
- \( P \) is the power in watts (W),
- \( F \) is the force in newtons (N),
- \( V \) is the velocity in meters per second (m/s).

### Step 3: Substitute the values into the formula
Now, substitute the given values into the power formula:
\[ P = 4500 \, \text{N} \times 2 \, \text{m/s} \]

### Step 4: Calculate the power
Now, perform the multiplication:
\[ P = 9000 \, \text{W} \]

### Step 5: Convert to kilowatts
Since power is often expressed in kilowatts (kW), we can convert watts to kilowatts:
\[ P = \frac{9000 \, \text{W}}{1000} = 9 \, \text{kW} \]

### Final Answer
The power of the motor is **9 kW**.

---