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## Homework Statement

A 10 kg vox slides 4.0 m down the frictionless ramp shown in the following link. It then collides with the spring whose spring constant is 250 N/m.

a. What is the maximum compression of the spring?

b. At what compression of the spring does the box have its maximum velocity?

http://i196.photobucket.com/albums/aa59/aliatehreem/chapter_10.jpg

## Homework Equations

Usf= Ug [ spring potential energy final = gravitational potential energy initial.

0.5 k x^2 = mgy

## The Attempt at a Solution

Find height corresponding to 4 m.

h= 4 sin30

a. Then use conservation of energy to find compression.

Usf= Ug [ spring potential energy final = gravitational potential energy initial.

0.5 k x^2 = mgy

0.5 (250) (x ^2) = (10) (9.81) (4sin30)

x= 1.25 m

Apparently, the correct answer is 1.46 m for a. and 19.6 cm for b. Can someone please help me figure out what I am doing wrong? It would be greatly appreciated! I wish that they would give the length of the spring, then I could calculate the gravitational potential energy more accurately.