Question

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. The cart moves directly east. Find the
components of the net force on the cart. Show all your work.

Answer 1

Net force is 4.64N East, 20N North

Step-by-step explanation:

First rope (horizontal to the west with a tension force of 30 N):

30N toward the West

0N North or South

Second rope (east and at an angle of 30° northward and a tension force of 40 N)

Force, North Component = 40N*sin(30°) = 40N*0.5 = 20N

Force, East Component = 40N*cos(30°) = 40N*0.866 = 34.64N

Net Force

34.64N East - 30N West = 4.64 N East

20N North - 0N North or South = 20N North

So the components of the net force on the cart is (4.64 East, 20N North).