An 85 kg jogger is heading due east at a speed of 1.7 m/s. A 55 kg jogger is heading 40° north of east at a speed of 3.4 m/s. Find the magnitude and direction of the sum of momenta of the two joggers.

Answer 1

The x component of the resultant/sun (combined) momentum is
85*1.7 + 55*3.4 cos 40)= Px
Compute it.

The y component of the resultant/sum is
55*3.4 sin 40 = Py
Compute that.

The magnitude is sqrt(Px^2 + Py^2)
The angle (north from east) is
tan^-1 Py/Px

Do the numbers

Answer 2

1. An 85-kg jogger is heading due east at a speed of 2.0 m/s. A 55-kg jogger is heading 32 north of east at a speed of 3.0 m/s. Find the magnitude and direction of the sum of the momenta of the two joggers.