Find the coefficient of friction between block and surface

Click For Summary

Homework Help Overview

The problem involves a block of mass sliding on a rough surface and compressing a spring upon coming to a stop. The goal is to find the coefficient of friction between the block and the surface, using principles of energy conservation and frictional forces.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of energy conservation principles, questioning how to relate kinetic energy, spring potential energy, and work done against friction. There are attempts to clarify the equations involved and to identify any mistakes in the reasoning.

Discussion Status

Some participants have provided guidance on using energy conservation, while others are questioning the mathematical steps taken. There is an ongoing exploration of the relationships between the energies involved, but no consensus has been reached on the specific calculations or assumptions.

Contextual Notes

Participants note the relevance of the spring's stiffness constant and the initial conditions of the block's motion. There are indications of potential errors in the mathematical expressions used, which are under discussion.

shivu30198
Messages
1
Reaction score
0
Homework Statement
A block of mass 2.4 kg sliding along horizontal rough surface is traveling at a speed 4.1 m/s when strikes a massless spring and compresses spring a distance 3.7 cm before coming to stop. If the spring has stiffness constant 714.3 N/m, find coefficient of friction between block and surface.
Relevant Equations
Wfr= umgcos
Ff.x= mv2/2 - kx2/2
umgx= mv2/2-kx2/2
u= mv2-kx2/2mgx =
 
Physics news on Phys.org
shivu30198 said:
Homework Statement: A block of mass 2.4 kg sliding along horizontal rough surface is traveling at a speed 4.1 m/s when strikes a massless spring and compresses spring a distance 3.7 cm before coming to stop. If the spring has stiffness constant 714.3 N/m, find coefficient of friction between block and surface.
Relevant Equations: Wfr= umgcos

Ff.x= mv2/2 - kx2/2
umgx= mv2/2-kx2/2
u= mv2-kx2/2mgx =
What is your question?

Also: please see LaTeX Guide to properly format your equations.
 
Use energy conservation.
Since block comes to rest:
##(KE)_{initial}=\text{ Energy stored in spring }+\text{ Energy lost to friction } ##
 
But you seem to know that, so are you asking us to do the mathematics?
 
  • Like
Likes   Reactions: erobz
shivu30198 said:
umgx= mv2/2-kx2/2
u= mv2-kx2/2mgx
Some mistakes in that last step.
 
  • Like
Likes   Reactions: erobz

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
13
Views
3K
  • · Replies 37 ·
2
Replies
37
Views
2K
Replies
7
Views
2K
Replies
61
Views
3K
Replies
10
Views
1K
Replies
15
Views
3K