Kinetic energy dissipation by friction

AI Thread Summary
The discussion focuses on the correct approach to solving a problem involving kinetic energy dissipation by friction. It clarifies that the initial equation presented is not a force equation but rather an energy balance equation. The correct method involves solving for acceleration using kinematic equations, particularly in scenarios where friction is a nonlinear function. A differential equation can be formulated to account for varying friction coefficients, leading to an expression for velocity in terms of distance. The conversation concludes with an acknowledgment of the need to focus on acceleration rather than energy balance.
NoobBR
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Is the equation right ? How do i solve it ?


Thanks in advance and sorry about my poor english or something else
 
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NoobBR said:
Is the equation right ?
Not really. That's not a force equation, but an energy balance one. By setting up such an energy balance equation, you could solve for the distance traveled. But that's not what's asked for.

Instead, solve for the acceleration.

What's the force of friction?
 
It is infact just a Kinematics 1D Problem. The body undergoes a constant retardation due to friction. So just use v = u + at .
 
hmm i formulated wrong. If the friction coeficient "u" is a nonlinear function, let's say, u = x^2 how it would be solved ?
 
Write force equation and solve the differential Equation.

We'll have m\cdot \frac{dv}{dt} = \mu mg \implies v dv =k x^2g dx, Since \mu = kx^2
 
Thank you very much for the help, you people are right and its a question about aceleration.


Greetz!
 

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