Two ice skaters stand facing each other on friction-free ice

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

Two ice skaters stand facing each other on friction-free ice. Skater X has mass 50 kg50\,\text{kg} and skater Y has mass 75 kg75\,\text{kg}. Starting from rest, they push off and move apart. Which of the following statements about the magnitudes of the impulses and the resulting motions is most accurate? (a) Each skater experiences the same magnitude impulse, and both skaters move off with equal speeds. (b) Each skater experiences the same magnitude impulse, and skater X moves with the greater speed. (c) Each skater experiences the same magnitude impulse, and skater Y moves with the greater speed. (d) Skater Y experiences the larger impulse because YY has the larger mass, and both skaters recoil with equal speeds.

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