What is the work done to fits to lift a body of mass 5 kg to a height of 50 m from the ground (in J)? (g = 10 m `s^(-2)`)

Options

A. 250
B. `2.5xx10^(10)`
C. `2.5xx10^(3)`
D. `2.5xx10^(-4)`

Explanation

To find the work done to lift a body of mass 5 kg to a height of 50 m, we can use the formula for gravitational potential energy, which is given by:

\[ \text{Potential Energy (PE)} = m \cdot g \cdot h \]

Where:
- \( m \) = mass of the body (in kg)
- \( g \) = acceleration due to gravity (in m/s²)
- \( h \) = height (in m)

### Step-by-Step Solution:

1. **Identify the values**:
- Mass (\( m \)) = 5 kg
- Acceleration due to gravity (\( g \)) = 10 m/s²
- Height (\( h \)) = 50 m

2. **Substitute the values into the formula**:
\[ \text{PE} = m \cdot g \cdot h = 5 \, \text{kg} \cdot 10 \, \text{m/s}^2 \cdot 50 \, \text{m} \]

3. **Calculate the work done**:
\[ \text{PE} = 5 \cdot 10 \cdot 50 = 2500 \, \text{J} \]

4. **Final answer**:
The work done to lift the body is \( 2500 \, \text{J} \) or \( 2.5 \times 10^3 \, \text{J} \).