The work done against gravity in taking 10 kg mass at 1m height in 1 sec will be

Options

A. 49 J
B. 98 J
C. 196 J
D. none of these

Answer

To solve the problem of calculating the work done against gravity in lifting a 10 kg mass to a height of 1 meter, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the parameters**:
- Mass (m) = 10 kg
- Height (h) = 1 m
- Acceleration due to gravity (g) = 9.8 m/s² (standard value)

2. **Understand the formula for work done against gravity**:
- The work done (W) against gravity when lifting an object is given by the formula:
\[ W = m \cdot g \cdot h \]
- Here, \(W\) is the work done, \(m\) is the mass, \(g\) is the acceleration due to gravity, and \(h\) is the height.

3. **Substitute the values into the formula**:
- Plugging in the values we have:
\[ W = 10 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \cdot 1 \, \text{m} \]

4. **Calculate the work done**:
- Performing the multiplication:
\[ W = 10 \cdot 9.8 \cdot 1 = 98 \, \text{Joules} \]

5. **Conclusion**:
- The work done against gravity in lifting the 10 kg mass to a height of 1 meter is **98 Joules**.

### Final Answer:
The work done against gravity is **98 Joules**.

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