the components of the force in the x- and y-directions are 40 N and 70 N,...

 

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the components of the force in the x- and y-directions are 40 N and 70 N, respectively. Note that this is just the force that the kicker introduces, not the net force on the ball. Once it is in flight, we know that the ball also experiences force due to gravity, acting opposite the applied force in the y-direction. Experience also tells us that the ball will encounter other forces, like air resistance in both the horizontal and vertical directions as it flies. Next, consider the following examples of multiple forces acting on a box. Reference the images for each example to ensure that you are orienting the vectors properly. F We know that F, has a magnitude of 50.0 N and acts at an angle of 45.0 with respect to the x-axis. We know that F2 is along the x-axis with a magnitude of 75.0 N. What is the magnitude (in N) of the net force on the box? N What is the angle (in degrees counterclockwise from the +x-axis) of the net force on the box? counterclockwise from the +x-axis We now add in a third force, F3, that acts downward along the y-axis with a magnitude of 90 N. y F1 F X What is the new magnitude (in N) of the net force on the box? N What is the angle (in degrees counterclockwise from the +x-axis) of the net force on the box? counterclockwise from the +x-axis G A fourth force is added with a magnitude of 25 N that makes an angle of 150 with the x-axis. FA y F1 F X What is the magnitude (in N) of the net force on the box? N the components of the force in the x- and y-directions are 40 N and 70 N, respectively. Note that this is just the force that the kicker introduces, not the net force on the ball. Once it is in flight, we know that the ball also experiences force due to gravity, acting opposite the applied force in the y-direction. Experience also tells us that the ball will encounter other forces, like air resistance in both the horizontal and vertical directions as it flies. Next, consider the following examples of multiple forces acting on a box. Reference the images for each example to ensure that you are orienting the vectors properly. F We know that F, has a magnitude of 50.0 N and acts at an angle of 45.0 with respect to the x-axis. We know that F2 is along the x-axis with a magnitude of 75.0 N. What is the magnitude (in N) of the net force on the box? N What is the angle (in degrees counterclockwise from the +x-axis) of the net force on the box? counterclockwise from the +x-axis We now add in a third force, F3, that acts downward along the y-axis with a magnitude of 90 N. y F1 F X What is the new magnitude (in N) of the net force on the box? N What is the angle (in degrees counterclockwise from the +x-axis) of the net force on the box? counterclockwise from the +x-axis G A fourth force is added with a magnitude of 25 N that makes an angle of 150 with the x-axis. FA y F1 F X What is the magnitude (in N) of the net force on the box? N