A particle is simultaneously acted by two forces equal to `4 N` and `3N`. The net force on the particle is

Options

A. `7 N`
B. `5 N`
C. `1 N`
D. Between `1 N and `7 N`

Explanation

To find the net force acting on a particle that is subjected to two forces of 4 N and 3 N, we can follow these steps:

### Step 1: Identify the Forces
We have two forces acting on the particle:
- Force 1 (F1) = 4 N
- Force 2 (F2) = 3 N

### Step 2: Determine the Maximum Net Force
The maximum net force occurs when the two forces are acting in the same direction. In this case, we simply add the magnitudes of the two forces:
\[ F_{\text{max}} = F1 + F2 = 4 \, \text{N} + 3 \, \text{N} = 7 \, \text{N} \]

### Step 3: Determine the Minimum Net Force
The minimum net force occurs when the two forces are acting in opposite directions. In this case, we subtract the smaller force from the larger force:
\[ F_{\text{min}} = F1 - F2 = 4 \, \text{N} - 3 \, \text{N} = 1 \, \text{N} \]

### Step 4: Conclusion
The net force on the particle can vary between the minimum and maximum values calculated:
- Minimum Net Force = 1 N
- Maximum Net Force = 7 N

Thus, the net force on the particle can range from 1 N to 7 N depending on the direction of the forces.