Question

calculate the net force. see the example solved for you below.
there is a 5 n force to the right and a 7 n force to the left. add 5n + (-7n). the resultant net force is -2 since the movement is to the left (by convention the negative direction of the grid)
p: aki applies 1 n force up on a volleyball and then 3 n down.
q: aki applies 150 n to the crate the right and logan applies 200 n to the crate to the right.
r: aki pulls a wagon with a force of 6n east as logan pushes it with a force of 4n east. what is the net force?
s: the sci operatives are playing tug of war. dr. nobels team pulls with a force of 150 n. mr. paulings team pulls with a force of 200 n in the opposite direction. what is the net force, and who wins the game?

Explanation:

Step1: Determine the direction of forces

Forces in the same direction add up. Forces in opposite directions subtract.

Step2: Calculate net force for each case

• Case P:

Let up be positive and down be negative.
Net force \(F = 1N-3N=- 2N\) (2N down)

• Case Q:

Both forces are to the right.
Net force \(F = 150N + 200N=350N\) (350N right)

• Case R:

Both forces are east.
Net force \(F = 6N+4N = 10N\) (10N east)

• Case S:

Let Dr. Nobel's team's direction be positive.
Net force \(F=150N - 200N=-50N\) (50N in Mr. Pauling's team's direction). Mr. Pauling's team wins.

Answer:

P. 2N down (Lime)
Q. 350N right (Light Blue)
R. 10N east (Red)
S. 50N in Mr. Pauling's team's direction (Green), Mr. Pauling's team wins.