A body weighing 5 kg is acted upon by two forces: 12 N and 8 N, directed at an angle of 180

A body weighing 5 kg is acted upon by two forces: 12 N and 8 N, directed at an angle of 180 to each other. In this case, the body moves with an acceleration equal to …

m = 5 kg.

F1 = 12 N.

F2 = 8H.

∠α = 180 °.

a – ?

According to Newton’s 2 law, the acceleration of a body a is directly proportional to the resultant of all forces Fр that act on the body and is inversely proportional to the mass of the body m: a = Fр / m.

Fр = F1 + F2 – vector.

Since the angle ∠α between the action of the forces F1 and F2 is ∠α = 180 °, this means that they are oppositely directed.

Their resultant Fр and acceleration a will be directed towards the action of the greater force F1 and will be determined by the formula: Fр = F1 – F2.

a = (F1 – F2) / m.

a = (12 N – 8 N) / 5 kg = 0.8 m / s2.

Answer: the acceleration of the body will be directed towards the action of the force F1 and is a = 0.8 m / s2.