Question

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?

Answer 1

`F_(x)=453.44N`

Step-by-step 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

`F_(x)=FCos\alpha \\F_(x)=599Cos(40.8)\\F_(x)=453.44N`

The Scalar y component can be found by

`F_(y)=-FSin\alpha \\F_(y)=-599Sin(40.8)\\F_(y)=-391.4N`