Amouse climbs 5m directly up a tree and then 3m to the right on a tree limb. what are the
horizontal and vertical components of the mouse's displacement? (the x-distance & y-distance)

d = (3 i + 5 j) 3 [m] x-distance and 5 [m] y-distance

Explanation:

We can find the displacement if we use a diagram with the cartesian coordinates of the displacement of the mouse.

In the attached image we can see each of the vectors and the origin where the mouse was in the initial position and then the final position after the mouse moved to the right.

So the mouse moved 3 meters to the right and 5 meter upward.

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach