Block Colliding with a Spring - Help Appreciated

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SUMMARY

The discussion centers on a physics problem involving a 1.90 kg block colliding with a spring of spring constant 237 N/m, compressing it by 13.00 cm. The coefficient of kinetic friction is 0.430, and the key questions include calculating the work done by the spring and the mechanical energy dissipated by friction. The solution requires applying the work-energy principle, specifically the equation ∆K + ∆U = ∆E, and considering the effects of friction on the system. Participants emphasize the importance of diagramming the forces and using kinematic equations for accurate calculations.

PREREQUISITES
  • Understanding of the work-energy principle (∆K + ∆U = ∆E)
  • Knowledge of spring mechanics (Hooke's Law)
  • Familiarity with kinetic friction and its calculations
  • Basic skills in kinematics and force diagrams
NEXT STEPS
  • Calculate the work done by the spring using the formula W = ½ k x²
  • Determine the mechanical energy dissipated by friction using W_friction = f_k * d
  • Analyze the initial speed of the block using conservation of energy principles
  • Explore the effects of varying spring constants on energy transfer in similar systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators seeking to clarify concepts related to springs and friction in motion problems.

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Homework Statement


A moving 1.90 kg block collides with a horizontal spring whose spring constant is 237 N/m.

The block compresses the spring a maximum distance of 13.00 cm from its rest position. The coefficient of kinetic friction between the block and the horizontal surface is 0.430. What is the work done by the spring in bringing the block to rest?

How much mechanical energy is being dissipated by the force of friction while the block is being brought to rest by the spring?

What is the speed of the block when it hits the spring?

Homework Equations


∆K+∆U=∆E

The Attempt at a Solution


Work done by spring = ½ * 0.430 * 0.13 ^2 and many other assorted things. None of which has been correct. Simply put, I've been firing at it in the dark.Where do I need to start?
 
Last edited:
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Nfinley1 said:

Homework Equations


∆K+∆U=∆E
You have left out the loss to friction.

Start by drawing a diagram and identifying the forces on the block. Then use the kinematics equations.
 
That makes sense, I just solved it all.

Thanks for the prompt response!
 

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