Find the Max Compression of a 2.80kg Block

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    Block Compression Max
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Discussion Overview

The discussion revolves around calculating the maximum compression of a spring when a block of mass 2.80 kg collides with it, given an initial velocity and the presence of friction. The scope includes mathematical reasoning and problem-solving related to energy conservation principles in a physics context.

Discussion Character

  • Mathematical reasoning
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant presents an initial approach using energy conservation, attempting to relate kinetic energy, potential energy, and work done by friction.
  • Another participant emphasizes the need to remember the units of force and work, suggesting that adding Newtons and Joules directly is problematic.
  • A different participant expresses uncertainty about their understanding and requests additional guidance to proceed with the problem.
  • A later reply critiques the initial equation setup, indicating that combining different units (N and J) in the equation raises concerns and suggests a more appropriate formulation using kinetic energy and work-energy principles.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct approach to the problem. There are competing views on how to set up the equations and the proper handling of units, indicating ongoing uncertainty and debate.

Contextual Notes

Participants note the importance of correctly applying energy conservation principles and the potential confusion arising from unit conversions. There are unresolved aspects regarding the correct formulation of the equations and the application of the quadratic formula.

Who May Find This Useful

This discussion may be useful for students working on similar physics problems involving energy conservation, friction, and spring mechanics, as well as those seeking to understand the nuances of unit consistency in physics equations.

physics333
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A block having a mass of 2.80 kg is given an initial velocity of 1.2m/s when it collides with a spring. The constant force of friction acts between the block and the surface with (mu sub k=0.5) and the force constant of the spring is k=100N/m. What is the maximum compression?

I've been stuck on the problem for a while.
Workfriction + KEi + PEi = KE + PE

KEi =2.02J
fk =13.72
KE=0
PEi =0

therefore (13.72 N + 2.02 J)/ 50N/m = x^2

Is this equation right? If so, how do I find x?
I tried to work it but I can't figure out how to add Newtons and joules divided by N/m and end up with x in meters...

Please help
 
Last edited:
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1N=1kgm/s2 ---- remember F=ma?
1J=1kgm2/s2 ----- remember W=Fx?
 
I still need more information...I'm not as smart as some as you. Someone get me started and I can figure it out...
Thanks
 
Originally posted by physics333

therefore (13.72 N + 2.02 J)/ 50N/m = x^2

There should be massive alarms going off when you get N+J in a physics problems.

If you put your equation together right, this should be easy:

KEi=Workfriction+PEspring
or
1/2mv02=ffrictionx+1/2kx2

Just remember the quadratic formula.
 

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