An 69-kg jogger is heading due east at a speed of 1.6 m/s. A 63-kg jogger is heading 14 ° north of east at a speed of 1.5 m/s. Find (a) the magnitude and (b) the direction of the sum of the momenta of the two joggers. Describe the direction as an angle with respect to due east.

Explanation:

From the question we are told that

Mass of first jogger

Speed

Direction

Mass of 2nd jogger

Speed

Direction

Generally equation for momentum along the the horizontal is mathematically given as

Generally equation for momentum along the the vertical is mathematically given as

a)Generally the magnitude of momentum is mathematically given by

b) Generally the angle is mathematically given by

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