Question #58f77

1 Answer
May 1, 2016

The work done in moving something through a distance under a force is given by #W=Fd#. First find the distance traveled, then use that to find the work done.

The solution is #W=8.72i+4.36j-4.36k# arbitrary units (if #d# was in #m# it would be #J#)

Explanation:

Distance traveled is given by:

#d=sqrt((3-2)^2+(2-(-1))^2+((-2)-1)^2)#
#=sqrt(1^2+3^2+-3^2)=sqrt(1+9+9)=sqrt19~~4.36# units

Then #W=fd=(2i+j-k)*4.36=8.72i+4.36j-4.36k#