What Is the Final Velocity of a 2 kg Mass on a Frictional Incline?

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Homework Help Overview

The problem involves a 2 kg mass sliding down a frictional incline after being released from a compressed spring. The incline has a height of 50 cm and is set at a 21-degree angle, with a specific section experiencing friction. Participants are exploring concepts related to energy conservation, forces on an incline, and the effects of friction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of normal force on an incline, questioning whether it equals the gravitational force. They also explore the total energy of the mass and how to account for energy lost to friction as it slides down.

Discussion Status

Some guidance has been provided regarding the calculation of the normal force and the frictional force. Multiple interpretations of the energy dynamics are being explored, particularly concerning the initial total energy and energy dissipation due to friction.

Contextual Notes

Participants are navigating the complexities of forces on an incline and the specific conditions of the problem, including the coefficient of friction and the dimensions of the incline. There is an emphasis on understanding the relationships between the forces and energy involved.

Pakbabydoll
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Homework Statement


A spring with a spring- constant 3.4N/ cm is compressed 29cm and released. The 2 kg mass skids down the frictional incline of height 50 cm and inclined at 21 degrees angle.
The acceleration of gravity is 9.8 m/s^2.
The path is frictionless except for a distance of .07 m along the incline which has a coefficient of friction of 0.5.



Homework Equations


I am kind of completely lost.



The Attempt at a Solution


so far this is what I have but its probably wrong anyway

50cos(21)= 46.67902132486
50sin(21)= 17.9183974

N=mg
N= (2)(9.8)= 19.6

Friction= NmK
Friction= (19.6)(0.5)= 9.8

PE= 14.297m
KE= 9.8

Total Energy= 24.097

Problem attached its #6..
Thanks
 

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Pakbabydoll said:
N=mg
N= (2)(9.8)= 19.6
The normal force while on the incline doesn't equal mg.

What's the total energy of the mass initially?

How much energy is dissipated due to work against friction as it slides down?

What's the final energy?
 
Doc Al said:
The normal force while on the incline doesn't equal mg.

What's the total energy of the mass initially?

How much energy is dissipated due to work against friction as it slides down?

What's the final energy?


So to get the normal force on an incline can I use the angle? Would it be like 9.8*cos(21)*2?
and how do you get friction for a specific area?
 
Pakbabydoll said:
So to get the normal force on an incline can I use the angle? Would it be like 9.8*cos(21)*2?
Yes.
and how do you get friction for a specific area?
Just like for anywhere else. Kinetic friction = μN.
 

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