Energy/Work Q: Find Speed of Block in Frictionless & 0.350 Coeff Surfaces

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SUMMARY

The discussion revolves around calculating the speed of a block attached to a spring as it passes through equilibrium under two conditions: frictionless and with a coefficient of friction of 0.350. For the frictionless scenario, the kinetic energy (KE) at equilibrium equals the potential energy (PE) stored in the spring, leading to the equation 1/2 m v² = 1/2 k x². In the presence of friction, the work done by friction (Wf) must be accounted for, altering the energy balance. The confusion arises from differing interpretations of work and energy conservation principles in physics.

PREREQUISITES
  • Understanding of kinetic energy (KE) and potential energy (PE) concepts.
  • Familiarity with Hooke's Law and spring constants.
  • Basic knowledge of work-energy principles in physics.
  • Ability to apply the work-energy theorem in different scenarios.
NEXT STEPS
  • Study the work-energy theorem in detail, focusing on its application in frictional and non-frictional scenarios.
  • Learn about Hooke's Law and its implications for spring systems.
  • Explore the concept of energy conservation in mechanical systems.
  • Practice solving problems involving kinetic and potential energy in various contexts.
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Students in introductory physics courses, educators teaching energy and work concepts, and anyone interested in understanding the dynamics of spring systems and friction in mechanical contexts.

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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At question b) is it right equation?
Maybe we can ignore PE for horizontal spring. We can write: KE+PEs+Wf= konstan.

@ is it your theory right? I Think: work= the change of KE or work= the change of PE. Sorry if I am wrong.
 
At question a). The problem said frictionless. I think, in the equilibrium, the KE =total energy. And at the initial position (pullet 4.50cm) the PE (from the spring)= total energy. So, we get: 1/2 m v² = 1/2 k x².
 

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