What is the mass of an object whose weight is 98 N ?

Options

A. 98 kg
B. 9.8 kg
C. 10 kg
D. none of these

Answer

To find the mass of an object whose weight is given as 98 N, we can use the formula that relates weight (W), mass (m), and acceleration due to gravity (g):

### Step-by-Step Solution:

1. **Identify the given values**:
- Weight (W) = 98 N
- Acceleration due to gravity (g) = 9.8 m/s² (standard value on the surface of the Earth)

2. **Use the formula for weight**:
The formula for weight is:
\[ W = m \cdot g \]
where:
- W is the weight,
- m is the mass,
- g is the acceleration due to gravity.

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

4. **Substitute the known values into the equation**:
Now, substitute the values of W and g into the equation:
\[ m = \frac{98 \, \text{N}}{9.8 \, \text{m/s}^2} \]

5. **Perform the calculation**:
\[ m = \frac{98}{9.8} = 10 \, \text{kg} \]

6. **Conclusion**:
The mass of the object is 10 kg.