Ms. PB is pushing Mr. Rigney in a wheelchair with a force of 10 N East, while Mr. Rigney is using his arms to
provide a 5 N force in the same direction. There is a 2 N Frictional force opposing the forward motion, and air
resistance providing a 7 N force West. What is the Net Force applied to the movement of Mr. Rigney's
wheelchair? Record and bubble your answer below. Show all of your work.

First of all, we start by noticing that all the forces act along the direction East-West, so we can simply find the net force by using algebraic addition.

In order to find the net force on the wheelchair, we need to define a positive direction and write down all the force with the proper sign.

Let's choose East as positive direction. Therefore, we have the following forces:

[tex]F_1 = +10 N[/tex] (east), the force applied by Ms. PB

[tex]F_2 = +5 N[/tex] (east), the force applied by Mr. Rigney

[tex]F_f = -2 N[/tex] (west), the frictional force, acting in the opposite direction

[tex]F_r = -7 N[/tex] (west), the air resistance, acting in the opposite direction

Taking into account the correct signs, we can now find the net force on the wheelchair:

[tex]F=F_1+F_2+F_f+F_r = +10 + 5 +(-2) + (-7) = +6 N[/tex]

And the positive sign tells us that the direction of the net force is East.

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