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A boy (30 kg) sitting on his horse whips it. The horse speeds up at an average acceleration of 2.0 m/s 2.If the boy slides back during the acceleration, what can be said about the coefficient of static friction between the horse and the boy.

A boy (30 kg) sitting on his horse whips it. The horse speeds up at an average acceleration of 2.0 m/s 2.If the boy slides back during the acceleration, what can be said about the coefficient of static friction between the horse and the boy. Correct Answer 0.20

If the boy slides back, the horse could not exert a friction of 60 N on the boy. The maximum force of static friction that the horse may exert on the boy is fs = μs = μsMg μs(30 kg) (10m/s2) = μs 300 N where μs is the coefficient of static friction. Thus, μs(300 N) <60 N or, μs <60/300 = 0.20.

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