Question

1. A 500 N force applied to a box at a 50 degree angle above the horizontal surface. Find the x and y

components. Use the cheat sheet located in your blue resource folder, and show all work.

Answer 1

The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.

Step-by-step explanation:

At first we present a figure describing the situation explained on statement, the x and y components of the force are determined by the following trigonometric expressions:

`F_(x) = F\cdot \cos \alpha` (1)

`F_(y) = F\cdot \sin \alpha` (2)

Where:

`F` - Magnitude of the force, measured in newtons.

`\alpha` - Direction of the force above the horizontal surface, measured in sexagesimal degrees.

If we know that
`F = 500\,N` and
`\theta = 50^(\circ)`, then the components of the force is:

`F_(x) = (500\,N)\cdot \cos 50^(\circ)`

`F_(x) = 321.394\,N`

`F_(y) = (500\,N)\cdot \sin 50^(\circ)`

`F_(y) = 383.023\,N`

The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.