A body with mass m at the beginning, resting in a horizontal plane during time τ, is acted upon

A body with mass m at the beginning, resting in a horizontal plane during time τ, is acted upon by a horizontal force F. What distance l will the body cover during its motion? body friction coefficient μ.

Given:

m is body weight;

F is the force acting on the body;

t is the period of time during which the force acts on the body;

u is the coefficient of friction;

g is the acceleration of gravity.

It is required to determine what distance l the body will travel during the time of action of the force.

Let’s find the acceleration with which the body moves:

F – F friction = m * a;

F – u * m * g = m * a;

a = (F – u * m * g) / m.

Then the distance will be equal to:

l = a * t ^ 2/2 = (F – u * m * g) / m * t ^ 2/2 = (F – u * m * g) * t ^ 2 / (2 * m).

Answer: the body will travel a distance equal to (F – u * m * g) * t ^ 2 / (2 * m).