A 10 N force is applied on a body produces an acceleration of 1 `m//s^(2)` . The mass of the body is

Options

A. 5 kg
B. 10 kg
C. 15 kg
D. 20 kg

Answer

To solve the problem, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The formula can be expressed as:

\[ F = m \cdot a \]

Where:
- \( F \) is the force applied (in Newtons),
- \( m \) is the mass of the body (in kilograms),
- \( a \) is the acceleration produced (in meters per second squared).

### Step-by-step solution:

1. **Identify the given values**:
- Force \( F = 10 \, \text{N} \)
- Acceleration \( a = 1 \, \text{m/s}^2 \)

2. **Rearrange the formula to solve for mass**:
- From the equation \( F = m \cdot a \), we can rearrange it to find the mass \( m \):
\[ m = \frac{F}{a} \]

3. **Substitute the known values into the equation**:
- Plug in the values of force and acceleration:
\[ m = \frac{10 \, \text{N}}{1 \, \text{m/s}^2} \]

4. **Calculate the mass**:
- Performing the division:
\[ m = 10 \, \text{kg} \]

5. **Conclusion**:
- The mass of the body is \( 10 \, \text{kg} \).

### Final Answer:
The mass of the body is **10 kg**.