A 85 kg jogger is heading due east at a speed of 2

Physics Sep 10, 2020

A 85 kg jogger is heading due east at a speed of 2.0 m/s. A 55 kg jogger is heading 32 degrees 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.

Expert Solution

In the east direction, the magnitude is:
m1*v1+m2*v2*cos32=85*2+55*3*cos32=310 kgm/s
in the north direction, the magnitude is:
m2*v2*sin32=87.4 kgm/s
then the sum of the momenta is:
sqrt(310^2+87.4^2)=322 kgm/s
The direction is: artan(87.4/310)=15.7 degree

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