A body weighing 1 kg is acted upon by forces 9h and 12h directed to the south and west

A body weighing 1 kg is acted upon by forces 9h and 12h directed to the south and west, respectively. What is the body’s acceleration?

F1 = 9 Newton – force directed to the south;

F2 = 12 Newtons – force directed to the west;

m = 1 kilogram is the mass of the body on which the forces F1 and F2 act.

It is required to determine the acceleration of the body a (m / s ^ 2).

Find the resultant forces F1 and F2:

F = F1 vector + F2 vector = (F1 ^ 2 + F2 ^ 2) ^ 0.5 = (9 ^ 2 + 12 ^ 2) ^ 0.5 = (81 + 144) ^ 0.5 = 225 ^ 0.5 = 15 Newton.

Then the acceleration of the body will be equal to:

a = F / m = 15/1 = 15 m / s ^ 2.

Answer: the acceleration of the body is 15 m / s ^ 2.