Question

The magnitude of a force vector is 81.0 newtons (N). The x component of this vector is directed along the +x axis and has a magnitude of 72.6 N. The y component points along the +y axis. Find the angle between and the +x axis.

Answer 1

Explanation:

Given that the magnitude of a force vector is 81.0 newtons (N).

The x component of this vector is directed along the +x axis and has a magnitude of 72.6 N.

To find the angle between the force and x axis

Let t be the angle between the force and x axis

Resolving the force along x axis,

we have
`81 cost = 72.6`

`cost =(72.6)/(81) =0.8963\\t =cos^(-1) (0.8963) =26.3245`

26.3245 degrees is answer.