How Does a Spring System Work on an Inclined Plane?

[jabbie3]

Homework Statement

A spring is mounted at an angle of 29 degrees on a frictionless incline as illustrated in the figure below. The spring is compressed to 15 cm where it is allowed to propel a mass of 4.6 kg up the incline.

https://chip.physics.purdue.edu/protected/GiordanoMimg/chapter6/06P94.jpg

Homework Equations

All I am really aware of is W=1/2kx2

But i do not know where to go from there

The Attempt at a Solution

Idk..i really need some guidance..THANKS!

 

[jabbie3]

Sorry i forgot the questions!

(a) If the spring constant is 560 N/m, how fast is the mass moving when leaves the spring?

(b) To what maximum distance from the starting point will the mass rise up the incline?

 

[lanedance]

loosk like a good one for conservation of energy

at each point the energy can be in 3 forms

spring potential energy, kinetic energy & gravitation potential energy

should know the formulas for each of these think about where they apply

 

[jabbie3]

i tried that and I am not getting the right answer..i figured i would have to find the velocity in x and y before i find THE velocity..but i don't know where to start with that

 

[lanedance]

show your working then...

this should be a 1D problem, set up your coordinate system at the incline

the Grav Potential will be the only place the angle enters into