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Unformatted text preview: v , acted on by a force that depends on the velocity as-bv n , where b is a positive constant and n is a positive dimensionless number. This force acts to slow the particle down. (a) Use dimensional analysis to ﬁnd an expression for how (i) the time for the particle to come to rest, and (ii) the distance it travels before coming to rest, can depend on the initial velocity v , together with m , b , and n . [5 pts.] (b) By integrating Newton’s law, determine for which values of n the particle comes to rest in a ﬁnite time, and determine that time. Compare with part 3a. [5 pts.] (c) Determine for which values of n the particle travels a ﬁnite total distance before coming to rest (whether or not it actually stops in a ﬁnite time). Find an expression for that distance and compare with your result from part 3a. [5 pts.]...
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This note was uploaded on 12/29/2011 for the course PHYSICS 374 taught by Professor Jacobson during the Fall '10 term at Maryland.
- Fall '10