Question

While digging in his garden Will pushes a shiv into the ground with a force of 585 newtons at an angle of 80° with the ground

Answer 1

Force, F = 585 N

Angle, θ = 80°

The diagram that shows the resolution of the force into its rectangular component is drawn below

The magnitude of the horizontal component is:

$\begin{gathered} F_x=585\sin 80 \\ F_x=585(0.9848) \\ F_x=576N \end{gathered}$

The magnitude of the vertical component is:

$\begin{gathered} F_y=585\cos 80 \\ F_y=585(0.174) \\ F_y=102N \end{gathered}$

Therefore, the magnitudes of the horizontal and vertical components of the force are (576, 102)