What is the magnitude and direction of the resultant?

Question

Lisa and Gina are pulling Aaron in his little red wagon. Gina pulls N 10 E with a force of 160 N (newtons). Lisa pulls N 30 W with a force of 190 N (newtons). What is the magnitude and direction of the resultant? Find the resultant vector, magnitude, direction angle, quad bearing and true bearing.

Answer 1

constrct a parallelogram

then use laws of sines, cosines to find the diagonal length = resultant magnitude

= d = sqr(190^2+140^2 -2(190)(140)Cos50

= about 146.6413 Newtons

in the NNW direction of 30-54.95=--24.95