A force vector has a magnitude of 599 newtons and points at an angle of 40.8° below the positive x axis. What is the x scalar component?

Respuesta :

Answer:

[tex]F_{x}=453.44N[/tex]

Explanation:

Given data

Force F=599 N

Angle α=40.8°

To find

x scalar component

Solution

The Scalar x component can be found by

[tex]F_{x}=FCos\alpha \\F_{x}=599Cos(40.8)\\F_{x}=453.44N[/tex]

The Scalar y component can be found by

[tex]F_{y}=-FSin\alpha \\F_{y}=-599Sin(40.8)\\F_{y}=-391.4N[/tex]