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posted by  ccplat on 10/26/2009 2:09:28 AM  |  status: Live  |  Earned Karma: 25

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Course Textbook Chapter Problem Needs by
N/A N/A N/A N/A 10/28/2009 at 4:00:00 PM
Question Details:
Two blocks of masses m1 = 2.00 kg and m2 = 3.60 kg are each released from rest at a height of y = 4.20 m on a frictionless track, as shown in the figure below, and undergo an elastic head-on collision.
(a) Determine the velocity of each block just before the collision. Let the positive direction point to the right.
v1i 1Your answer is correct. m/s
v2i 2Your answer is correct. m/s

(b) Determine the velocity of each block immediately after the collision.
v1f 3Your answer is incorrect.
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s
v2f 4Your answer is incorrect.
Your response differs from the correct answer by 10% to 100%. m/s

(c) Determine the maximum heights to which m1 and m2 rise after the collision.
y1f 5 m
y2f 6 m
Tags: Physics
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AAnswers:

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posted by john_r on 11/3/2009 4:03:08 PM  |  status: Live
Asker's Rating: None Provided    Moderator's Rating: Helpful
Response Details:

(a)
   let u1 and u2i be the velocities of m1 and m2 just before the collision then from the
   law of conservation of energy we get            
   u1 = - u2
        = (2 g h)(1 / 2)
        = …... m / s
(b)
   the velocites of the two blocks after collision be v1, v2
   then from the law of conservation of momentum we get
   (2.00 kg) v1 + (3.60 kg) v2 = (2.00 kg) u1 + (3.60 kg) (- u2)
   but for elastic head on collision we have
   v1 + u1 = v2 + u2
   on solving the above two equations we get
   v1 = ........... m / s
   v2 = ........... m / s
(c)
   the maximum heights to which m1 reaches after collision is
   h1 = v12 / 2 g
       = .......... m
   h2 = v22 / 2 g
       = .......... m

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