Find the speed of the block at this point

AI Thread Summary
A 2.00 kg block on a frictionless incline is connected to a spring with a spring constant of 100 N/m and is released from rest. The block moves 23.0 cm down a 37-degree incline, and the discussion focuses on finding its speed at that point. Participants suggest using conservation of energy principles, combining kinetic energy, gravitational potential energy, and spring energy. The user initially struggles but eventually finds the solution using the recommended equations. The thread concludes with the user successfully determining the speed of the block.
fizwiz
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Homework Statement


A 2.00 kg block situated on a frictionless incline is connected to a spring of negligible mass having a spring constant of 100 N/m. The block is released from rest when the spring is unstretched, and the pulley is frictionless. The block moves 23.0 cm down the incline of 37 degrees. Find the speed of the block at this point. I've included a picture at the bottom.


Homework Equations





The Attempt at a Solution

 

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2. Homework Equations

ive tried using the equation of KE=1/2mv^2 and also W=1/2x^2
i've basically done everything i can without any progress.
are there any other equations or ways of doing this type of question?
thank you

3. The Attempt at a Solution
 
Welcome to PF!

Hi fizwiz! Welcome to PF! :smile:

I don't understand why conservation of energy isn't doing it …

KE + energy of spring + gravitational PE = constant.

What numbers are you getting? :smile:
 
hi tiny-tim
i haven't actaully tried it using your way..
which equations would you use?
 
Hi fizwiz! :smile:

I would use: KE + energy of spring + gravitational PE = constant.

KE, as you say, is 1/2mv².

(btw, what was your W?)

So … what is the formula for the gravitational PE for a drop of h?

And what is the formula for the energy of the spring when its length is x? :smile:
 
thanks for your help! :)
i think I've worked out the answer using those equations
 
:biggrin: Woohoo! :biggrin:

( :smile: … don't forget to click on "Thread Tools" to mark the thread [SOLVED] … )
 
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