A crane lifts a mass of `100 kg` to a height of `10m` in `20s`. The power of the crane is `(Take g = 10 ms^(-2))`

Options

A. `100 W`
B. `200 W`
C. `250 W`
D. `500 W`

Explanation

To find the power of the crane lifting a mass, we can follow these steps:

### Step 1: Calculate the Work Done
The work done (W) in lifting an object is given by the formula:
\[ W = m \cdot g \cdot h \]
where:
- \( m \) = mass (100 kg)
- \( g \) = acceleration due to gravity (10 m/s²)
- \( h \) = height (10 m)

Substituting the values:
\[ W = 100 \, \text{kg} \cdot 10 \, \text{m/s}^2 \cdot 10 \, \text{m} \]
\[ W = 100 \cdot 10 \cdot 10 = 10000 \, \text{J} \]

### Step 2: Calculate the Power
Power (P) is defined as the work done per unit time:
\[ P = \frac{W}{t} \]
where:
- \( W \) = work done (10000 J)
- \( t \) = time taken (20 s)

Substituting the values:
\[ P = \frac{10000 \, \text{J}}{20 \, \text{s}} \]
\[ P = 500 \, \text{W} \]

### Final Answer
The power of the crane is **500 Watts**.

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