Four forces of magnitude 10n 5n 4n and 6n act on an object in the directions north west east and south respectively find the magnitude and direction of their resultant

2 answers

net N-S ... 10 N - 6 N = 4 N north

net E-W ... 5 N - 4 N = 1 N west

magnitude ... m^2 = 4^2 + 1^2 ... m = √17

direction ... cos(Θ) = 1 / 4
... Θ is the degrees west of north

or ... (90 + Θ) on the unit circle
An object is placed by a force 10N to the east a force of 5N to the north west find the sum of these force given the magnitude and direction the three significant