The acceleration produced in a body by a force of given magnitude depends on

Options

A. size of the body
B. shape of the body
C. mass of the body
D. none of these.

Explanation

To solve the question, we need to analyze how the acceleration of a body is affected by the force applied to it and its mass. We will use Newton's second law of motion as our foundation.

### Step-by-Step Solution:

1. **Understand Newton's Second Law of Motion**:
According to Newton's second law, the force (F) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a). This can be expressed mathematically as:
\[ F = m \cdot a \]

2. **Rearranging the Equation**:
We can rearrange this equation to express acceleration in terms of force and mass:
\[ a = \frac{F}{m} \]

3. **Analyzing the Equation**:
From the equation \( a = \frac{F}{m} \), we can see that:
- The acceleration (a) is directly proportional to the force (F) applied to the body.
- The acceleration (a) is inversely proportional to the mass (m) of the body.

4. **Conclusion**:
Therefore, the acceleration produced in a body by a force of given magnitude depends on both the magnitude of the force applied and the mass of the body.

### Final Answer:
The acceleration produced in a body by a force of given magnitude depends on the mass of the body and the force applied to it.