A spring of length 0.80m rests along a frictionless 30-degree incline. A 2.0kg mass, at rest, at the end of the spring compresses the spring by 0.10m. (a) Determine the spring constant k. (b) The mass is pushed down, compressing the string an additional 0.60m, and then released. If the incline is 2.0m long, determine how far beyond the rightmost edge of the incline the mass lands.
I've attached a little drawing of the problem that i drew quickly just so you can visualize the main parts.
*To refresh your memory if you've forgotten the basics or something:
PE(string) = 1/2kx^2 -- x = distance, k = spring constant
PE(gravitational) = mgh -- m = mass, g = gravity (9.8m/s^2), h = height above reference point
KE = 1/2mv^2 -- m = mass, v = velocity