A puck of mass slides across a long

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A puck of mass mm slides across a long, level sheet of ice where the coefficient of kinetic friction increases linearly with distance according to μk(x)=μ0+βx\mu_k(x) = \mu_0 + \beta x, with μ0\mu_0 and β\beta positive constants and xx measured in metres. If the puck’s initial speed is v0v_0, derive an explicit expression for the stopping distance dd in terms of v0v_0, gg, μ0\mu_0, and β\beta.

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