For unlimited access to Homework Help, a Homework+ subscription is required.
The figure shows a plot of potential energy U versus position x ofa 2.7 kg particle that can travel only along an x axis under theinfluence of a conservative force. The graph has these values: UA =9.0 J, UB = 12.0 J, UC = 19.0 J, and UD = 22.0 J. The particle isreleased at the point where U forms a "potential hill" of "height"UB, with kinetic energy 4.0 J. What is the speed of the particle atx = 3.5 m?Here's the graph :http://nplq1.phyast.pitt.edu/res/sc/gblanpied/courses/usclib/hrw8/hrwpictures/hrw8c8f051.jpg
A circular metal ring, as shown on the diagram below, isconstructedso as to expand or contract freely. In a region with aconstantmagnetic field Bo oriented perpendicularto it, the ringexpands, with its radius growing with timeasr=ro(1+αt2).Asthe ring expands and grows thinner, its resistance per unitlengthchanges accordingtoR=Ro(1+βt2).Findthe current induced in the ring as a function of time. Tocheck youranswer, suppose that Bo =3.00 mT, ro= 10.0 cm,Ro = 8.00 [ Ω/(m)], α =0.110à 10-4sâ2,and β = 0.585Ã10-2sâ2. What isthe value of theinduced current at t = 74.5 s?(Note: Give the direction ofthe current where when viewed fromabove a positive current willmove counterclockwise.)