A uniform force of 4 N acts on a body of mass 40 kg for a distance of 2 m. The kinetic energy acquired by the body is

Options

A. 460 J
B. 800 J
C. 320 J
D. 8 J

Explanation

To find the kinetic energy acquired by the body when a uniform force acts on it, we can use the work-energy principle. The work done on the body is equal to the change in kinetic energy.

### Step-by-Step Solution:

1. **Identify the given values:**
- Force (F) = 4 N
- Mass (m) = 40 kg
- Distance (d) = 2 m

2. **Calculate the work done (W):**
The work done by the force can be calculated using the formula:
\[ W = F \times d \]
Substituting the values:
\[ W = 4 \, \text{N} \times 2 \, \text{m} = 8 \, \text{J} \]

3. **Relate work done to kinetic energy:**
According to the work-energy principle, the work done on the body is equal to the change in kinetic energy (ΔKE):
\[ \Delta KE = W \]
Therefore, the kinetic energy acquired by the body is:
\[ KE = 8 \, \text{J} \]

4. **Final answer:**
The kinetic energy acquired by the body is **8 Joules**.