The mass of an object whose weight is 50 N is x kg. Find x. (Take `g = 10 ms^(-2)`)

Explanation

To find the mass \( x \) of an object whose weight is 50 N, we can use the relationship between weight, mass, and gravitational acceleration. The formula that relates these quantities is:

\[ W = m \cdot g \]

Where:
- \( W \) is the weight of the object (in Newtons),
- \( m \) is the mass of the object (in kilograms),
- \( g \) is the acceleration due to gravity (in \( \text{m/s}^2 \)).

Given:
- Weight \( W = 50 \, \text{N} \)
- Gravitational acceleration \( g = 10 \, \text{m/s}^2 \)

### Step-by-Step Solution:

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

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

3. **Substitute the given values into the equation**:
\[ m = \frac{50 \, \text{N}}{10 \, \text{m/s}^2} \]

4. **Perform the calculation**:
\[ m = \frac{50}{10} = 5 \, \text{kg} \]

5. **Conclude the result**:
The mass \( x \) of the object is \( 5 \, \text{kg} \).

### Final Answer:
\[ x = 5 \, \text{kg} \]