F=ma 2024 Problem 09

Physics · mechanics

Problem

Question: When a car's brakes are fully engaged, it takes 100m100 m to stop on a dry road, which has coefficient of kinetic friction μk=0.8\mu_{k} = 0.8 with the tires. Now suppose only the first 50m50 m of the road is dry, and the rest is covered with ice, with μk=0.2\mu_{k} = 0.2. What total distance does the car need to stop? (A) 150m150 m. (B) 200m200 m. (C) 250m250 m. (D) 400m400 m. (E) 850m850 m.

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