Question

Find the Work (W) done by a Force (F) that moves an object from the initial

point (2, 20, 16) to the final point (12, 24, 40) along a straight line.
The distance is measured in meters and the force is in newtons.
F = (-4,11,- 3)
10 pts

Answer 1

Hello,

Explanation:

`W=\overrightarrow {d}*\overrightarrow {F}\\\\(\begin{bmatrix}12\\24\\40\end{bmatrix}-\begin{bmatrix}2\\20\\16\end{bmatrix})*\begin{bmatrix}-4&11&-3\end{bmatrix}\\\\\\=\begin{bmatrix}10\\4\\14\end{bmatrix}*\begin{bmatrix}-4&11&-3\end{bmatrix}\\\\=10*(-4)+4*11-14*3\\\\=-40+44-42\\\\=-38\\\\|W|=38 (Nm\ or\ J)`