Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100° respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

39.05 pounds at

Explanation:

To find the resultant force, we need to decompose each vector along the x- and y- directions. Let's do it:

Vector 1:

Vector 2:

Resultant components:

So the magnitude of the resultant is

And the direction is

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.