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APC12Test2005

# APC12Test2005 - PhysicsvAP v d = dt v v d = dt I particle =...

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Physics AP Test: Chapter 12 Form 1 d = dt θ ϖ v v d = dt ϖ α v v d d α θ ϖ ϖ = dx v = dt v v dv a = dt v v a dx v dv = 2 particle I mr = 2 2 5 sphere I mr = 2 1 2 disk I mr = 2 1 12 rod I mL = 2 cm I I mr = + F ma = v v sin Fr τ θ = I τ α = v v dL dt τ = v v o L τ = 13 12 23 ϖ ϖ ϖ = + r r r θ sin mvr L = L I ϖ = v v g U mgh = 2 1 2 r K I ϖ = 2 1 2 t K mv = A solid spherical marble is sliding (without rotation) at speed v on a frictionless surface when the surface suddenly becomes rough at x = 0. A kinetic friction force then acts on the sphere. Eventually the sphere begins to roll without slipping. The sphere has mass m , radius R , and coefficient of kinetic friction μ . Express your answers to the following questions in terms of the defined variables and fundamental constants. 1) What is the final speed of the marble? 2) How much heat is produced during the marble’s acceleration? A wheel-and-axle is made up of a thin, 30-cm long, 0.35-kg axle rod and a 1.50-kg cylindrical wheel with a radius of 85 cm.

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