What is the mass of an object whose weight is 980 N ?

Options

A. 980 kg
B. 98 kg
C. 100 kg
D. zero

Answer

To find the mass of an object whose weight is 980 N, we can use the formula that relates weight (W), mass (m), and acceleration due to gravity (g):

### Step-by-Step Solution:

1. **Understand the relationship between weight, mass, and gravity**:
The weight of an object is given by the formula:
\[ W = m \times g \]
where:
- \( W \) is the weight in newtons (N),
- \( m \) is the mass in kilograms (kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \) on the surface of the Earth).

2. **Identify the known values**:
From the question, we know:
- Weight \( W = 980 \, \text{N} \)
- Acceleration due to gravity \( g = 9.8 \, \text{m/s}^2 \)

3. **Rearrange the formula to solve for mass**:
To find the mass, we can rearrange the formula:
\[ m = \frac{W}{g} \]

4. **Substitute the known values into the formula**:
Now, substitute \( W = 980 \, \text{N} \) and \( g = 9.8 \, \text{m/s}^2 \) into the rearranged formula:
\[ m = \frac{980 \, \text{N}}{9.8 \, \text{m/s}^2} \]

5. **Calculate the mass**:
Performing the calculation:
\[ m = \frac{980}{9.8} = 100 \, \text{kg} \]

6. **Conclusion**:
The mass of the object is \( 100 \, \text{kg} \).