Question

1. Two ropes are attached to a wagon, one horizontal to the west with a tension force of 30 N, and the other east and at an angle of 30° northward and a tension force of 40 N. Find the components of the net force on the cart. Show all your work.

Answer 1

x goes west to east
y goes south to north

x forces: -30 + 40 cos(30)=-30+34.6=4.6 N
y forces 40 sin(30)=20 N

final result |F| = sqrt (4.6^2 + 20^2) = 20.5

angle is arc tan (20/4.6) = 77 degrees

Answer 2

thank you! :)