How Does a Spring System Work on an Inclined Plane?

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Homework Help Overview

The problem involves a spring mounted on a frictionless incline, where it is compressed and then releases a mass. The context is centered around the principles of energy conservation in a spring system on an inclined plane.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of conservation of energy, considering spring potential energy, kinetic energy, and gravitational potential energy. Questions arise about the correct approach to find the velocity of the mass and the maximum distance it travels up the incline.

Discussion Status

Some participants have offered guidance on setting up the problem and considering energy forms, while others express uncertainty about their calculations and seek clarification on the application of concepts. Multiple interpretations of the problem are being explored.

Contextual Notes

There is mention of specific values such as the spring constant and the angle of the incline, but participants note difficulties in applying these to reach a solution. The discussion reflects a need for further exploration of the relationships between the different forms of energy involved.

jabbie3
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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!
 
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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?
 
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
 
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
 
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
 

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