2004APFinalFRSolutionsv2

2004APFinalFRSolutionsv2 - PHYSICS AP FALL SEMESTER...

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PHYSICS AP FALL SEMESTER 2003-2004 FINAL EXAMINATION VERSION 2 PART TWO: FREE RESPONSE QUESTIONS SOLVE THE FOLLOWING PROBLEMS. WRITE YOUR ANSWERS ON THE ANSWER SHEET. DO NOT WRITE ON THIS PAPER. IF THE ANSWER IS A VECTOR, REPORT MAGNITUDE AND DIRECTION. An incredibly long, thin rod has linear charge density λ . One end of the rod is located at point B. Point A is located along the line of the rod, a distance d from the end. 1) What is the strength of the electric field at point A? 2 2 2 2 0 E d L d d k dq k dr dE r r k dr k dr k k E dE d r r + = = - - = = = - A solid sphere of mass m = 50 grams and radius r = 1.25 cm is placed on a 30º ramp and released from rest. The sphere then rolls without slipping. 2) What net force acts on sphere as it rolls? ( 29 ( 29 [ ] 2 2 sin 2 : 5 2 2 2 5 5 5 2 7 sin sin sin 5 5 5 5 sin 0.05 9.8 sin30 0.175 7 7 f f f f f F mg F ma F r I a object rolls I mr r a F r I mr mar F ma r mg F mg ma ma mg ma F ma mg N down the ramp θ τ α = - = = = = =  = = = =   - = - = = = = = = A solid, infinitely long, uniformly charged, nonconducting cylinder has linear charge density - and radius R . A narrow tunnel is drilled through the cylinder through its center, as shown in cross section at right. The tunnel is so narrow that
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2004APFinalFRSolutionsv2 - PHYSICS AP FALL SEMESTER...

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