# 2 forces are applied to the body F1 = 2 and F2 = 0.5 find the acceleration if the mass is 300g.

F1 = 2 H.

F2 = 0.5 H.

m = 300 g = 0.3 kg.

a – ?

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

The resultant of all forces F is the vector sum of all forces that act on the body:

F = F1 + F2.

1) Forces F1 and F2 are directed in the same direction.

Since the forces are directed in one direction, then F = F1 + F2.

The formula for determining the acceleration of the body will take the form: a = (F1 + F2) / m.

a = (2 N + 0.5 N) / 0.3 kg = 8.3 m / s ^ 2.

2) Forces F1 and F2 are directed in the opposite direction.

Since the forces are directed in the opposite direction, then F = F1 – F2.

The formula for determining the acceleration of the body will take the form: a = (F1 – F2) / m.

a = (2 N – 0.5 N) / 0.3 kg = 5 m / s ^ 2.

Answer: the body will move with acceleration a = 8.3 m / s ^ 2 or a = 5 m / s ^ 2.