Question

1. a students worksheet escapes through the window - of course its due today. the wind blows it forward with 0.8 n, air resistance fights back with 0.5 n, and gravity pulls downward with 0.7 n. determine the horizontal and vertical net forces, then describe its overall motion. ***********this one is different, you will need more than one direction. please format like this incorrect answer: 2 n left, 4 n right no change.

Explanation:

Step1: Calculate horizontal net - force

The wind blows forward (assume positive direction) with $F_{wind}=0.8\ N$ and air resistance acts backward with $F_{air}=0.5\ N$. The horizontal net - force $F_{x}$ is the difference between these two forces.
$F_{x}=F_{wind}-F_{air}$
$F_{x}=0.8 - 0.5=0.3\ N$ (forward)

Step2: Calculate vertical net - force

Gravity pulls downward with $F_{g}=0.7\ N$. There is no upward force mentioned in the vertical direction other than normal forces which are not relevant here as the worksheet is in free - fall in the vertical sense. So the vertical net - force $F_{y}$ is equal to the force of gravity.
$F_{y}=0.7\ N$ (downward)

Step3: Describe overall motion

The worksheet has a net horizontal force of $0.3\ N$ forward and a net vertical force of $0.7\ N$ downward. So it will move forward and downward simultaneously.

Answer:

Horizontal net force: $0.3\ N$ forward; Vertical net force: $0.7\ N$ downward; Overall motion: moves forward and downward.