With what force is it necessary to pull a box weighing 20 kg on the floor

With what force is it necessary to pull a box weighing 20 kg on the floor with an acceleration of 0.5 m / s2 if the force of resistance to movement is 5N?

Given:

m = 20 kilograms – box weight;

a = 0.5 meters per second squared – is the acceleration with which the box is pulled;

Fsopr = 5 Newton – the value of the force resistance to the movement of the box.

It is required to determine F (Newton) – with what force it is necessary to pull the box.

Let us introduce a coordinate system, the OX axis of which is directed towards the movement of the box. Then the projection of the force of resistance to motion will have a negative value, and the traction force will have a positive value. According to Newton’s second law:

F – Fcopr = m * a;

F = m * a + Fcopr;

F = 20 * 0.5 + 5 = 10 + 5 = 15 Newtons.

Answer: the box must be pulled with a force equal to 15 Newtons.