An 85-kg jogger is heading due east at a speed of 2.0 m/s. A 55-kg jogger is heading 22° north of east at a speed of 2.7 m/s. Find the magnitude and direction of the sum of momenta of the two joggers.

Answer 1

M1V1+M2V2 = 85*2 + 55*2.7[22o] =
170 + 148.5[22o] = 170 + 148.5*Cos22 +
148.5*sin22 = 170+137.7 + 55.63i =
307.7 + 55.63i = 313[10.25o] kg-m/s.