Chapter 7, Problem 47P

A machine carries a 4.0 kg package from an initial position of ${\stackrel{\to }{d}}_i$= (0.50 m) $\hat{i}$ + (0.75 m) $\hat{j}$ + (0.20 m) $\hat{k}$ at t = 0 to a final position of ${\stackrel{\to }{d}}_f$= (7.50 m) $\hat{i}$ + (12.0 m) $\hat{j}$ + (7.20 m) k at t = 12 s. The constant force applied by the machine on the package is $\stackrel{\to }{F}$= (2.00 N) $\hat{i}$ + (4.00 N) $\hat{j}$ + (6.00 N) $\hat{k}$. For that displacement, find (a) the work done on the package by the machine’s force and(b) the average power of the machine’s force on the package.