Speed due to release of spring

In summary, the problem involves a 1 kg block on a frictionless plane inclined at 30°, with a spring of 500 N/m at the bottom. The block travels 1.5 m up the plane before losing contact with the spring. The question asks for the speed of the block at 0.9 m up the plane. The equations used were W=(1/2)kx2 and K=(1/2)mv2, but the attempt resulted in double digit numbers which are incorrect. The angle given in the problem and formatting for equations were also mentioned. More details and attempts are needed to find the correct solution.
  • #1

Homework Statement


I have run across another problem while reviewing for finals that I am not able to really understand, and this one I have no clue how to approach. I am given that a block is of mass 1 kg, it is placed on a spring of constant 500 N/m at the bottom of a frictionless plane inclined at 30°. When the spring is released the block travels 1.5 m up the plane, losing contact with the spring. What is the speed of the block when it has traveled 0.9 m up the plane?

Homework Equations


Not really sure, I tried using:
W=(1/2)kx2
and:
K=(1/2)mv2

The Attempt at a Solution


So, I tried finding the work, and then using the work in place of K to find the velocity. This returned double digit numbers, which due to the question being multi-choiced with only single digit numbers, are obviously wrong. Also, where am I supposed to use the supplied angle?
 
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  • #2
On a side note, how do you format your posts so the equations look nice as you see in a lot of other posts on these boards?
 
  • #3
You'll have to show your attempt in detail so that we can see what you did right and where you went wrong.

As for equation formatting, you can use the icons and menus available in the edit panel header bar for things like subscripts and superscripts and special characters (such as Greek letters) if you use plain text equations, or you can use the built-in LaTeX syntax interpretation that the website implements. This requires learning some LaTeX syntax. For more information check out the LaTeX Primer.
 

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