The force needed to produce an acceleration of `6m//s^(2)` in a ball of mass 4 kg will be

Options

A. 24N
B. 30N
C. 32N
D. 36N

Answer

To solve the problem of finding the force needed to produce an acceleration of \(6 \, \text{m/s}^2\) in a ball of mass \(4 \, \text{kg}\), we can use Newton's second law of motion, which states that:

\[ F = m \cdot a \]

where:
- \(F\) is the force,
- \(m\) is the mass,
- \(a\) is the acceleration.

### Step-by-step Solution:

1. **Identify the given values**:
- Mass (\(m\)) = \(4 \, \text{kg}\)
- Acceleration (\(a\)) = \(6 \, \text{m/s}^2\)

2. **Substitute the values into the formula**:
\[ F = m \cdot a = 4 \, \text{kg} \cdot 6 \, \text{m/s}^2 \]

3. **Calculate the force**:
\[ F = 4 \cdot 6 = 24 \, \text{N} \]

4. **State the final answer**:
The force needed to produce the given acceleration is \(24 \, \text{N}\).

### Final Answer:
The force needed is \(24 \, \text{N}\).

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