Max Spring Compression and Object Velocity on Frictionless Ramp

[Eva001]

Homework Statement

An object of mass m = 2kg is relesed from a height h=5m and left to slide on a frictionless curved ramp.
Once it reaches the bottom it slides horizontally from point A to point B, covering a distance L=6m on a surface with kinetic friction coefficient [PLAIN]https://upload.wikimedia.org/math/3/a/d/3ad4fa5a7787192d8cbb5f69d33d05cc.png= 1/3.
To the right of point B, the friction becomes negligible and the object comes into contact with a relaxed spring of spring constant k=30 N/m .
Take g=10 m/x²
a-) Find the max compression of spring
b-)As the spring decompresses, it imparts a leftward velocity to the object. Can the object reach point A with that speed?

2. Homework Equations
F=-kx
Work done by friction =

x mass x gravity(g) x length

The Attempt at a Solution

I found :
Work done by friction = 40
Ek = 100
final energy =Ek-W = 100 - 40 = 60
Then
60 = 1/2 k x²
I could not find b
Help please
and thanks :)
[/B]

 

[Eva001]

I know its late by its URGENT!

 

[billy_joule]

How much energy does the mass have as it leaves the spring?
How much energy is required to slide back to A?

 

[gneill]

You should always state your results with units. Otherwise they are meaningless and markers will deduct points (most will give zero points if no units are specified).

For part b, what kinetic energy do you expect the mass to have when it reaches point B after returning from its encounter with the spring?