Two forces are applied to the body in one direction F = 4H and F = 1H. Find the acceleration modulus

Two forces are applied to the body in one direction F = 4H and F = 1H. Find the acceleration modulus if the body weight is 500g.

F1 = 4 H.

F2 = 1 H.

m = 500 g = 0.5 kg.

but – ?

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 is 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.

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 = (4 N + 1 N) / 0.5 kg = 10 m / s ^ 2.

Answer: the body will move with acceleration a = 10 m / s ^ 2.