A box is dragged without acceleration in a straight-line path across a level surface by a force of 100 n. What is the frictional force between the box and the surface?.



Answer :

The frictional force between the box and the surface is 100 newtons .

Since the body being dragged across the surface is not accelerating, the acceleration of the body is 0m/s².

From Newtons second law of motion, F = ma where;

F is the sum of the forces acting on the body

m is the mass of the body

a is the acceleration

If the box is dragged along a straight line by a force of 100 N, its moving force (Fm) is 100 N and the frictional force (Ff) will act opposite to this force.

Resultant force acting on the box along the horizontal will be Fm+(-Ff)

Therefore;

Fm+(-Ff) = ma

Fm-Ff = ma

Since a = 0m/s²

Fm-Ff = m(0)

Fm-Ff = 0

Fm = Ff

This shows that for a static body, the moving force acting on the body will be the same as the frictional force. Since Fm = 100 N

Frictional force (Ff) = 100 N

Therefore, the frictional force between the box and the surface is 100 N

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