Question

A 5.6-kg object is acted on by two forces. One of the forces is 11 N acting toward the east. What is the other force if the acceleration of the object is 1.0 m/ s2 toward the east?

need help :)

Answer 1

m = mass of the object = 5.6 kg

a = object acceleration = 1 m / s²

F1 = the first force = 11 N

F2 = other force

Assume that both forces are on the same line and that both forces are directed to the east.

The total force is:

F = F1 + F2

In this case:

F = F1 + F2

F = 11 + F2

Apply Newton's second law.

F = m a

11 + F2 = 5.6 ∙ 1

11 + F2 = 5.6

Subtract 11 to both sides

F2 = - 5.4 N

The negative value of the second force shows it is towards the west.

So the other force F2 = 5.4 N towards the west.