Question

A box is resting on the ground and you can assume its location is the origin of the system. A person applies a westward force of 31.7 Newtons (N) to the box while another applies a northward force of 43.5 N to the box. Determine the total force applied to the box.

Answer 1

Question

A box is resting on the ground and you can assume its location is the origin of the system. A person applies a westward force of 31.7 Newtons(N) to the box while another applies a northward force of 43.5N to the box. Determine the total force applied to the box.

Solution

Using formula $F = \sqrt{F_x^2 + F_y^2}$, where $F$ is total force, $F_x = F_1 + 0 \cdot F_2$ and $F_y = 0 \cdot F_1 + F_2$. Then:

$$F = \sqrt {F _ {1} ^ {2} + F _ {2} ^ {2}} = \sqrt {31.7^2 + 43.5^2} = \sqrt {1004.89 + 1892.25} = \sqrt {2897.14} = 53.83\,N$$

Answer

53.83N

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