If `g=10ms^(-2)`, what is the force of gravity acting on a mass of 1 kg?

Options

A. 1N
B. 10N
C. `1/10N`
D. None of these

Answer

To find the force of gravity acting on a mass of 1 kg when \( g = 10 \, \text{m/s}^2 \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Weight**:
The force of gravity acting on an object is also known as its weight. The weight (W) of an object can be calculated using the formula:
\[ W = m \cdot g \]
where:
- \( W \) is the weight (force of gravity),
- \( m \) is the mass of the object,
- \( g \) is the acceleration due to gravity.

2. **Identify the Given Values**:
From the problem, we have:
- Mass (\( m \)) = 1 kg
- Acceleration due to gravity (\( g \)) = 10 m/s²

3. **Substitute the Values into the Formula**:
Now, substitute the given values into the weight formula:
\[ W = 1 \, \text{kg} \cdot 10 \, \text{m/s}^2 \]

4. **Calculate the Weight**:
Perform the multiplication:
\[ W = 10 \, \text{kg} \cdot \text{m/s}^2 = 10 \, \text{N} \]
(Note: 1 kg·m/s² is equivalent to 1 Newton (N))

5. **Conclusion**:
The force of gravity acting on a mass of 1 kg is:
\[ W = 10 \, \text{N} \]

### Final Answer:
The force of gravity acting on a mass of 1 kg is **10 Newtons**.

---