#step:1#

#"let's convert radian to degree"#

#theta=180*(5cancel(pi))/(12cancel(pi))=75^o#

#sin 75=0,966 #

#cos 75=0,259#

#G=m*g=1*9,81=9,81N#

#step:2#

#color(green)(F_1)=G*sin theta=9,81*0,966=9,47616N#

#color(red)(F_2)=G*cos theta=9,81*0,259=2,54079N#

#color(red)(N=-F_2)=-2,54079N#

#color(red)(N) "is the reacting force to" color(red)(F_2)"by acting surface" #

#color(purple)(F_f)=k*color(red)(N)"(friction force)"#

#color(purple)(F_f)=4*2,54079=10,16316N#

#"now let's sum these forces"#

#sumF=color(green)(F_1)+color(purple)(f_f)#

#sumF=9,47616+10,16316#

#sumF=19,63932N#

#step:3#

#sumF" is the minimum force that will transport object from" #

#"the point A to the point B"#

#W=sumF* Deltax#

#W=19,63932*6#

#W=117,83592# "Joule"