The problem asks to identify the correct diagram that shows the forces acting on a person running on a rough surface. The forces are weight ($W$), friction force ($F$), and the normal reaction force ($R_A$).

1. Problem Description

The problem asks to identify the correct diagram that shows the forces acting on a person running on a rough surface. The forces are weight ($W$), friction force ($F$), and the normal reaction force ($R_A$).

2. Solution Steps

To identify the correct diagram, we need to consider the following:

* Weight ($W$): This force acts downwards from the center of gravity (G).

* Friction force ($F$): Since the person is running forward, the friction force opposes any tendency to slip backward. Therefore, the friction force acts in the forward direction.

* Normal reaction force ($R_A$): This force acts perpendicular to the surface, pushing upwards on the foot in contact with the ground.

Now let's examine the options:

* Option 1: Friction acts in the correct direction(forward) but the normal reaction force is inclined.

* Option 2: Friction acts in the backward direction, which is incorrect. Normal reaction force is vertical.

* Option 3: The force 'P' acting is incorrect. Normal reaction force is vertical.

* Option 4: Friction acts in backward direction and normal reaction force is inclined.

* Option 5: Friction acts in the forward direction, which is correct. And the normal reaction force is inclined.

When a person is running, the center of mass of the body tends to lean forward. Therefore, there is a horizontal frictional force F pushing the foot forward and an upward reaction force R at an angle to the vertical such that the net torque about the center of mass is zero to avoid falling.

3. Final Answer

Option 5 is correct.