A force acts on an object which is free to move. If we know the magnitude of the force and the mass of the object, newton's 2nd law of motion enable us to determine the object is

Options

A. weight
B. speed
C. acceleration
D. position

Answer

To solve the question, we will apply 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 (F = m * a).

### Step-by-step Solution:

1. **Identify the Given Values**:
- Let the mass of the object be \( m \).
- Let the magnitude of the applied force be \( F \).

2. **Write Newton's Second Law**:
- According to Newton's second law, the relationship between force, mass, and acceleration is given by:
\[ F = m \cdot a \]
- Rearranging this equation allows us to solve for acceleration:
\[ a = \frac{F}{m} \]

3. **Substitute the Known Values**:
- If we assume the mass \( m = 5 \, \text{kg} \) and the force \( F = 10 \, \text{N} \), we can substitute these values into the equation:
\[ a = \frac{10 \, \text{N}}{5 \, \text{kg}} \]

4. **Calculate the Acceleration**:
- Performing the calculation:
\[ a = 2 \, \text{m/s}^2 \]

5. **Conclusion**:
- Therefore, knowing the magnitude of the force and the mass of the object allows us to determine the acceleration of the object. In this case, the acceleration is \( 2 \, \text{m/s}^2 \).