Spring Ramp Problem: Maximum Distance for Compressed Spring Calculation

[BBallman_08]

Homework Statement

A 500-g block is released from rest and slides down a frictionless track that begins 2.00 m above the horizontal as shown in the figure. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a constant of 20 N/m.find the maximum distance the spring is compressed.

Homework Equations

I am pretty sure that this is just an MGH type problem, so I used :

mgh=1/2kx^2

The Attempt at a Solution

Using the above formula, I calculated: (.500)(9.8)(2)=.5(20)(x^2)

Solving the equation for value x i get .99 m.

Can anyone advise me to whether this is correct or not?

 

[kataya]

That is correct.

 

[BBallman_08]

awesome, thanks a lot!