Two figure skaters stand motionless on nearly frictionless ice

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

Two figure skaters stand motionless on nearly frictionless ice, facing each other. Skater 1 has mass 60 kg60\,\text{kg}, and Skater 2 has mass 75 kg75\,\text{kg}. They place their palms together and push directly away from each other. During the push, Skater 1 experiences a constant force of 120 N120\,\text{N} for 0.60 s0.60\,\text{s}. After the push ends, the skaters glide without further interaction. (a) Identify a choice of system for which the linear momentum vector is conserved during the 0.60 s0.60\,\text{s} pushing interval. Explain your reasoning with reference to forces acting on that system. (b) Calculate the magnitude and direction of each skater’s velocity immediately after the push ends. (c) Determine the total linear momentum of the chosen system after the push. Compare it quantitatively with the total momentum before the push and comment on any difference.

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