Two forces 3

Two forces with magnitudes 8 Newtons and 15 Newtons act at a point. If the resultant force is 17 Newtons, find the angle between the forces.

Correct answer:

A =  90 °

Step-by-step explanation:

F1=8 N F2=15 N F=17 N  F2 = F12 + F22   2 F1 F2 cos α  α=arccos(2 F1 F2F12+F22F2)=arccos(2 8 1582+152172)1.5708 rad  A=α  °=α π180   °=1.5708 π180   °=90  °=90

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