# Find the acceleration with which the body will move if the body mass is 1m. A horizontal force of 5 kN

Find the acceleration with which the body will move if the body mass is 1m. A horizontal force of 5 kN acts on the body, the coefficient of friction is 0.2.

Given:

m = 1 ton = 1000 kilograms – body weight;

g = 10 Newton / kilogram – acceleration of gravity;

F = 5 kN = 5000 Newton – force acting on the body;

k = 0.2 – coefficient of friction.

It is required to determine a (m / s ^ 2) – the acceleration with which the body moves.

According to Newton’s second law:

F – F friction = m * a;

F – k * N = m * a;

F – k * m * g = m * a, hence:

a = (F – k * m * g) / m = F / m – k * g = 5000/1000 – 0.2 * 10 = 5 – 2 = 3 m / s ^ 2.

Answer: the body moves with an acceleration equal to 3 m / s ^ 2.

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