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notsponge [240]
3 years ago
7

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

Physics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

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

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.

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