please help 2 physics problems, evil teacher, i dont understand?

Question

need help with these problems, my physics teacher is evil and when people asks for help he says its physics your not supposed to get it. Please show work so i know how and explain to people

1. In tackling a running back from the other team, a defensive lineman exerts a force of 500N at 180*, while a linebacker simultaneously applies a force of 650N at 270*. What is the resultant force on the carrier?

1. 1 force of 60N and a 2nd of 30N act on an object at point P. Add the vectors and find the magnitude of the resultant at 30*,45*,&60*

Answer 1

Sorry to hear your teacher is not willing to explain in more depth.

Both of these problems involve vectors in 2-dimensional space.
They are always solved by looking at the x and y components separately and then using sqrt sum of the squares to find magnitude. Use atan(y/x) to find the angle.

Running back:
x components:
500*cos(180)=-500
650*cos(270)=0
so the x is -500

y components:
500*sin(180)=0
650*sin(270)=-650
so the y is -650

the angle is atan(-650/-500)
or 52.43 degrees west of south

the resultant magnitude is
sqrt(650^2+500^2)
820 N

For the point P, is the angle the angle of separation between the forces? I will assume yes and always have the 60 N on the x axis
30 degrees
x=60+30*cos(30)
x=85.98
y=30*sin(30)=15
the resultant is
sqrt(85.98^2+15^2)
87.28 N

45 degrees
x=60+30*cos(45)
x=81.21
y=30*sin(45)=21.21
the resultant is
sqrt(81.21^2+21.21^2)
83.93 N

60 degrees
x=60+30*cos(60)
x=75
y=30*sin(60)=25.98
the resultant is
sqrt(75^2+25.98^2)
79.37 N

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