Final answer:
The initial and final momentum of a 60 kg person running north at speeds of 4 m/s and 6 m/s are calculated to be 240 kg·m/s and 360 kg·m/s, respectively.
Step-by-step explanation:
The question involves calculating the initial and final momentum of a person running in the north direction with two different speeds. According to the law of conservation of momentum, momentum is the product of mass and velocity. The formula to calculate momentum (p) is p = mv, where m is the mass and v is the velocity.
For the initial momentum, we use the initial velocity of 4 m/s in the formula:
pinitial = m × vinitial
pinitial = 60 kg × 4 m/s
pinitial = 240 kg·m/s
For the final momentum, substituting the final velocity of 6 m/s:
pfinal = m × vfinal
pfinal = 60 kg × 6 m/s
pfinal = 360 kg·m/s
Thus, the initial and final momentum of the runner are 240 kg·m/s and 360 kg·ms/s, respectively.