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Grade 11Mechanics

A baseball player (Fig.) with mass 79 kg, sliding into a base, is slowed by a force of friction of 470 N. What is the co- efficient of kinetic friction between the player and the ground?
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

Profile image of Simran Bhatia
11 Years agoGrade 11
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1 Answer

Profile image of Aditi Chauhan
11 Years ago
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Therefore, the coefficient of kinetic friction between the basketball player and the ground is 0.60.