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posted by  a7medo778 on 11/7/2009 10:45:11 AM  |  status: Closed  |  Earned Karma: 35

ring question , LifeSaver Guaranteed

Course Textbook Chapter Problem Needs by
Algebra Based Physics University Physics with Modern Physics (12th) by Young, Freedman 23 N/A 11/7/2009 at 7:00:00 PM
Question Details:
A ring of diameter 7.70 cm is fixed in place and carries a charge of 5.50 \mu C uniformly spread over its circumference.


Part A
How much work does it take to move a tiny 3.80 \mu C charged ball of mass 2.40 g from very far away to the center of the ring?
  W  =
  \rm J

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Part B
Is it necessary to take a path along the axis of the ring?

Yes
No


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Part C
Why


Part D
If the ball is slightly displaced from the center of the ring, what will it do?
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Part E
What is the maximum speed it will reach?
  v  =
  \rm m/s

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Oracle
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(Ecole Polytechnique Fédérale de Lausanne)
posted by Golden Monkey on 11/7/2009 12:00:01 PM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
(a)   Work done  =  final potential energy  =  k Q q / r  = 
.
        =  8.99 x 109 * 5.50 x 10-6 * 3.80 x 10-6 / 0.0385   =   4.880 Joules
.
(b)  NO 
.
(c)   because electric force is conservative, so work is path independent
.
(d)   the particle will be repelled by the ring because they are both positively charged.
.
(e)    final KE  =  initial PE
.
         (1/2) m v2  =  4.880
.
    (1/2) * 0.0024 * v2  =  4.880
.
    v  =   63.8  m/s
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