This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: m f m 1 dm mv 1 = u ln m f m 1 0 = u ln m i m 1 + u ln m f m 1 0 = u ln m i m f m 2 1 m i m f m 2 1 = 1 m 1 = m i m f Problem 2 (a) We have d ~ = 1 d , and goes from to 2 . I ~ F r =1 d ~ =Z 2 k 1 d =2 k 6 = 0 . (b) A conservative force has zero line integral over any closed path. Thus, ~ F is not conservative, since there is a closed path for which the line integral of ~ F is not zero. (c) Recall that d ds arctan s = 1 1 + s 2 .W x =k 1 + y 2 x 2 y x 2 = k y r 2W y =k 1 + y 2 x 2 1 x = k x r 2~ W = k r 2 ( y x ) = k r (sin cos ) =k r . Although it seems that~ W = ~ F , the potential W is undened at the origin. In fact, we cannot dene a potential that is welldened everywhere , and this has to do with the force being nonconservative. 2...
View
Full
Document
This note was uploaded on 10/06/2011 for the course PHYS 325 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Staff
 Physics, mechanics, Force

Click to edit the document details