Physics, 22.07.2019 11:00 Fedaca5

1. two ropes are attached to a wagon, one horizontal to the west with a tension force of 20 n, and the other east and at an angle of 30° northward and a tension force of 50 n. find the components of the net force on the cart. show all your work.

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Answer from: lauren9261

The horizontal and vertical components of the net force of the given ropes are;

Horizontal component of Net force = 23.3 i^

Vertical component of net force = 25 j^

We are given;

Tension in Rope 1; T₁ = 20 N

Tension in Rope 2; T₂ = 50 N

We are told that The tension in Rope 1 is horizontal to the east. Thus;

Horizontal component of T₁ = -20 i^

The Tension in rope 2 is acting at an angle of 30° northward. Thus;

Horizontal component of T₂ = (50 cos 30)i^

Vertical component of T₂ = (50 sin 30)j^

Thus, Net force is;

Net force = Sum of vertical component + sum of horizontal components

F_net = (50 sin 30)j^ + ((50 cos 30)i^ + (-20 i^)

This will be simplified to get;

F_net = 25 j^ + (43.3 - 20)i^

F_net = 23.3 i^ + 25 j^

In conclusion, the horizontal and vertical components of the net force are respectively 23.3 i^ and 25 j^

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1. two ropes are attached to a wagon, one horizontal to the west with a tension force of 20 n, and t...