Understanding Work and Energy: Solving a Physics Problem with a Spring

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SUMMARY

The discussion centers on solving a physics problem involving work and energy related to a spring system. A 2.00 kg block attached to a spring with a force constant of 500 N/m is analyzed under two scenarios: one with a frictionless surface and another with a coefficient of friction of 0.350. The key equations discussed include the relationship between potential energy (PE), kinetic energy (KE), and the work done by friction (Wf). The confusion arises from differing interpretations of how work and energy are represented in the presence of friction.

PREREQUISITES
  • Understanding of classical mechanics principles, specifically work and energy.
  • Familiarity with Hooke's Law and spring constant calculations.
  • Knowledge of kinetic energy and potential energy equations.
  • Basic grasp of friction and its impact on mechanical systems.
NEXT STEPS
  • Study the conservation of mechanical energy in systems with friction.
  • Learn how to apply Hooke's Law in practical scenarios involving springs.
  • Explore the concept of work-energy theorem in detail.
  • Practice solving problems involving kinetic and potential energy transformations.
USEFUL FOR

Students in introductory physics courses, educators teaching mechanics, and anyone interested in understanding the principles of work and energy in spring systems.

jared bernstein
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Hey guys I am in intro physics in college and took physics in high school. I have a general question about work/energy. In high school we used work= change in total energy and total energy = PE +KE +Q (Internal) which =work. In class there was a problem that read
2.00 kg block is attached to a spring of force constant 500 N/m. The block is pulled 4.50 cm to the right of equilibrium and released from rest.

(a) Find the speed of the block as it passes through equilibrium if the horizontal surface is frictionless.

(b) Find the speed of the block as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is 0.350

What I don't understand is that my teacher said KE + PE +PEs =Wf (which is work of friction) but in high school (the equation above the friction or Q is on the other side and she says that the friction is equal to W.

Can anyone explain!

Or simply do the problem out for me I am getting mixed messages!

thanks

first post btw
 
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jared bernstein said:
Or simply do the problem out for me I am getting mixed messages!
Give it a try yourself, first!
jared bernstein said:
PEs
What is this?
jared bernstein said:
friction is equal to W.
Please rephrase, what do you mean by friction = W ?

Hint: Just equate the potential energy stored in the spring to the sum of kinetic energy gained by the object and work done by friction.
 
You could write it as ##W_f = - \Delta(KE+PE)##. That is, the work done against friction is equal to the loss in mechanical energy. (You have a PEs, which I take to be another form of PE, e.g. you may have gravitational PE as well as spring PE. I'm lumping all the PEs together.). However, if your teacher takes Wf to be the work done by friction then that reverses the sign. So it could be just a question of standpoint.
 

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