Question

8. You and your little brother are arguing over a sweater. If you pull

with 65 N of force and your brother pulls with 30 N of force, who
would move in what direction and with how much force?​

Answer 1

The sweater will move towards you with a force of 35 N

Step-by-step explanation:

In this problem, we have two forces acting on the sweater:

- A force of 65 N towards you

- A force of 30 N acting towards your brother

We can choose the direction "towards you" as positive, so that we can write the two forces as follows

`F_1 = +65 N\\F_2 = -30 N`

Therefore, the net force acting on the sweater will be

`F=F_1 + F_2 = +65 +(-30) = +35 N`

And the positive sign (+) indicates that the direction of the net force is towards you, so the sweater will move towards your direction.