(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

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

0.5 k x^2 = mgy

3. 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Energy Conservation.

**Physics Forums | Science Articles, Homework Help, Discussion**