What is the velocity of the object after it has been displaced by the spring?

AI Thread Summary
The discussion revolves around calculating the velocity of an object displaced by a spring without using the spring constant. Participants clarify that the work done by the spring equals the change in kinetic energy (KE) of the block, which is zero on a frictionless surface. The relationship between work, potential energy (U), and kinetic energy (K) is emphasized, leading to the conclusion that the work done by the spring can be expressed as 0.5 kx^2. Ultimately, it is established that the velocity can be determined by equating the work done to the kinetic energy of the block. The conversation highlights the importance of understanding the energy transformations involved in the system.
GreenPrint
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Homework Statement



http://img205.imageshack.us/img205/7536/capturebb.jpg

i am stuck on part c

how do i find work without using the spring constant





Homework Equations



work equals force parallel times displacement at which the force is acted during...

Work done by spring = .5 kx^2
Work = delta K

but delta K = 0 because the table top is frictionless

Work = delta U
delta U = 0 in this situation correct?

The Attempt at a Solution



so I'm stuck...

i think it might be zero but .5 kx^2 would not give zero now would it...
 
Last edited by a moderator:
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The work done on the block by the spring is equal to the change in KE of the block.
 
hmmmmmmmm... so then... um...
 
ok thanks
 
wait so to find the spring constant...

is delta U = delta K = W = .5 kx^2

?
 
- (Mg)/(2h)
 
GreenPrint said:
wait so to find the spring constant...

is delta U = delta K = W = .5 kx^2

?
0.5 kx^2 = 0.5 Mv^2.
From the given data you can find v.
 

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