What is the mass of an object whose weight on the earth is `196N(g=9.8ms^(-2))`

Options

A. 19.6 kg
B. 1.96 kg
C. 20 kg
D. 2 kg

Answer

To find the mass of an object given its weight on Earth, we can use the formula:

\[ \text{Weight} = \text{Mass} \times \text{Gravity} \]

Where:
- Weight (W) = 196 N
- Gravity (g) = 9.8 m/s²

### Step-by-Step Solution:

1. **Write the formula for weight**:
\[ W = m \times g \]

2. **Substitute the known values into the formula**:
\[ 196 = m \times 9.8 \]

3. **Rearrange the formula to solve for mass (m)**:
\[ m = \frac{W}{g} \]

4. **Substitute the values of weight and gravity**:
\[ m = \frac{196}{9.8} \]

5. **Calculate the mass**:
\[ m = 20 \, \text{kg} \]

### Final Answer:
The mass of the object is **20 kg**.

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