How will the sliding friction force change when the bar moves along the horizontal plane

How will the sliding friction force change when the bar moves along the horizontal plane if the normal pressure force is increased by 3 times?

Given:

P2 = 3 * P1 – the force of the bar’s normal pressure on the surface (body weight) was increased threefold.

It is required to determine F2 / F1 – how the sliding friction force will change when the bar moves.

According to the condition of the problem, the action takes place on a horizontal surface.

Then, in the first case, the friction force will be equal to:

F1 = k * P1, where k is the coefficient of sliding friction.

In the second case, the friction force will be equal to:

F2 = k * P2 = k * 3 * P1 = 3 * k * P1.

F2 / F1 = (3 * k * P1) / (k * P1) = 3, that is, it will increase by 3 times.

Answer: with an increase in the normal pressure force by 3 times, the sliding friction force will also increase by 3 times.