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Old Nov 5th 2009, 09:04 AM   #1
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Elastic Collision

BAC is a smooth rail in a vertical plane : Part BA is circular of center O and radius 50cm , and AC is horizantal . A spring of constant K=500 N/m is placed on the horizontal part AC and its end is fixed at C. A Ball of mass
m = 2 kg is placed pn the horizontal part AC. m is pushed towards the spring until it is compressed by 12cm .
When the ball is released , the spring extends and retirns to its original length, and the ball is projected away and starts rising along the path AB until it stops at point D, before moving back .

a ) Find the velocity of the ball , just when it leaves the spring .

Mechanical energy is conserved ( System ball + string )

EMi = EMf

(i) when the spring is compressed
(f) just after collision with the string .

Eki + Epi + Epei = Ekf + Epf + Epef

0 + 0 + 0.5k(x)^2 = 0.5mv^2 + 0 + 0

V = 1.89 m/s

Is My work Correct ?!?!
Thanks in advance.
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Old Nov 5th 2009, 09:12 AM   #2
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yes.it is. but what is the use of this circular stuff then?
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Old Nov 5th 2009, 10:43 AM   #3
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It's similar to a slide : But Circular Or Cyclic :

Last edited by Aladdin; Nov 5th 2009 at 10:48 AM.
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