What is the magnitude of the total force on the ball?5 boys are pushing on a snowball, and each is pushing with a force of 10.0N. however, each boy...

Let A ,B C ,D and E be the persons who push the ball north , north east, east, south east and sothern directions. Resolving the force of each in  North and eastern directions , we get:

A;  10 cos 0 = 10N   towards north  and   10 sin0 =0N east

B:10 cos 45=10/sqrt2Nnorth and     10 sin 45 =10/sqrt2N east

C: 10 cos90 =0N north  and  10 sin90  = 10N east

D: 10 cos (-135)= -10/sqrt2 N   and  10 sin135 = 10/sqrt2

E: 10 cos 180 = -10 N  north  and 10 sin 180 =0 east

Therefore: thesum of north components=(10+10/srt2+0-10/sqrt2-10)= 0 and the total of east components =2(10/sqrt2)+10 = 10(2/sqrt2 +10=10(sqrt2+1) N = 24.1421N approximately. Therefore the resultant of 0 north and 24.1421 N towards east is 24.1421 N and in eastern direction.