Question #104836

Two hockey players push off from a clinch, recoiling from rest. Jean-Claude has an inertia that is 60% greater than Pierre's inertia. After they push off and move across the ice in opposite directions, they lose kinetic energy at the same rate until they come to a stop.

1.What is the ratio of the distances which players traveled?

1.What is the ratio of the distances which players traveled?

Expert's answer

From the conservation of momentum:

"K_{10}=0.5m_1v_1^2"

"K_{20}=0.5m_2v_2^2=\\frac{K_{10}}{1.6}=0.625K_{10}"

"\\frac{d_{JC}}{d_P}=\\frac{K_{20}}{K_{10}}=0.625"

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