The work done in lifting 1 kg mass to a height of 9.8 m is about

Options

A. 1J
B. `9.8 J`
C. `(9.8) ^(2)J`
D. `(1)/((9.8)) J`

Answer

To find the work done in lifting a 1 kg mass to a height of 9.8 m, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Work**:
Work done (W) is defined as the product of force (F) and displacement (d). The formula is:
\[ W = F \times d \]

2. **Identify the Force Required to Lift the Mass**:
The force required to lift an object is equal to the weight of the object, which can be calculated using the formula:
\[ F = m \times g \]
where:
- \( m \) is the mass (1 kg in this case),
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \)).

3. **Calculate the Force**:
Plugging in the values:
\[ F = 1 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 9.8 \, \text{N} \]

4. **Determine the Displacement**:
The displacement in this case is the height to which the mass is lifted, which is \( 9.8 \, \text{m} \).

5. **Calculate the Work Done**:
Now, substitute the values of force and displacement into the work formula:
\[ W = F \times d = 9.8 \, \text{N} \times 9.8 \, \text{m} \]
\[ W = 9.8 \times 9.8 = 96.04 \, \text{J} \]

6. **Final Answer**:
The work done in lifting a 1 kg mass to a height of 9.8 m is approximately \( 96.04 \, \text{J} \).