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A 90. 0-kg ice hockey player hits a 0. 150-kg puck, giving the puck a velocity of 45. 0 m/s. If both are initially at rest and if the ice is frictionless, how far does the player recoil in the time it takes the puck to reach the goal 15. 0 m away?.

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onyebuchinnaji

The distance traveled by the hockey player is 0.025 m.

The principle of conservation of linear momentum;

  • The principle of conservation of linear momentum states that, the total momentum of an isolated system is always conserved.

The final velocity of the hockey play is calculated by applying the principle of conservation of linear momentum;

[tex]m_1v_1 = m_2 v_2\\\\v_1 = \frac{m_2 v_2}{m_1} \\\\v_1 = \frac{0.150 \times 45}{90} \\\\v_1 = 0.075 \ m/s[/tex]

The time taken for the puck to reach 15 m is calculated as follows;

[tex]t = \frac{d}{v} \\\\t = \frac{15\ m}{45 \ m/s} \\\\t = 0.33 \ s[/tex]

The distance traveled by the hockey player at the calculated time is;

[tex]d = vt\\\\d = 0.075 \ m/s \ \times 0.33 \ s\\\\d = 0.025 \ m[/tex]

Learn more about conservation of linear momentum here: https://brainly.com/question/7538238

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