What is the initial potential energy in the spring?

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Homework Help Overview

The problem involves a wooden block projected up an incline by a compressed spring. The block's mass, the incline angle, and the coefficient of kinetic friction are provided, along with its speed at a certain distance up the incline. The focus is on determining the initial potential energy stored in the spring.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss how to incorporate angles and friction into their calculations, particularly regarding the height 'h' in potential energy equations. There are attempts to clarify the relationship between the incline's angle and the height reached by the block.

Discussion Status

Some participants are exploring the relationship between the incline angle and the height, while others are questioning the role of the coefficient of friction in the context of height calculation. There is ongoing dialogue about the correct interpretation of variables and equations involved.

Contextual Notes

Participants are navigating the complexities of the problem, including how to account for the incline's angle and the effects of friction on the block's motion. There is uncertainty regarding the definitions and relationships of the variables involved.

azila
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Homework Statement


A wooden block with mass 1.75 kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 34.0 (point ). When the spring is released, it projects the block up the incline. At point , a distance of 4.55m up the incline from , the block is moving up the incline at a speed of 5.85 m/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and incline is = 0.55. The mass of the spring is negligible.

What is the initial potential energy in the spring??

Homework Equations


ok, I know that you do kinetic energy + potential energy +friction
K = .5mv^2
U = mgh
U of spring = .5*k*v^2


The Attempt at a Solution



But How do i account for the angles and mu, if some one could show me the equation..I would understand. I have tried everything.. Thanks in advance
 
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azila said:

Homework Statement


A wooden block with mass 1.75 kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 34.0 (point ). When the spring is released, it projects the block up the incline. At point , a distance of 4.55m up the incline from , the block is moving up the incline at a speed of 5.85 m/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and incline is = 0.55. The mass of the spring is negligible.

What is the initial potential energy in the spring??

Homework Equations


ok, I know that you do kinetic energy + potential energy +friction
K = .5mv^2
U = mgh
U of spring = .5*k*v^2


The Attempt at a Solution



But How do i account for the angles and mu, if some one could show me the equation..I would understand. I have tried everything.. Thanks in advance
The angle will help you to determine 'h' in the 'mgh' term, and also will aid in determining the value of the normal force used in your calcuation of the friction force.
 
how would i calculate h though? i don't know?? please help
 
would h just be mgmucostheta
 
azila said:
would h just be mgmucostheta
No, what's h got to do with mu?
h is the height that the block reaches above ground when it is 4.55m up the incline. From trig, h is just 4.55 sin theta, no?
 

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