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An object is at rest in front of a compressed spring. It travels over a surface that exerts a kinetic frictional force on it and the object eventually comes to a stop. If the spring constant of the spring is 1800 N/m, the initial compression of the spring is 10 cm, the mass of the object is 4 kg, and the coefficient of kinetic friction between the object and the surface is 0.35, how far does the object travel before it comes to a stop?

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krlosdark12

Answer:

the object will travel 0.66 meters before to stop.

Explanation:

Using the energy conservation theorem:

[tex]E_i+K_i+W_f=K_f+U_f[/tex]

The work done by the friction force is given by:

[tex]W_f=F_f*d\\W_f=\µ*m*g*d\\W_f=0.35*4*9.81*d\\W_f=13.7d[J][/tex]

so:

[tex]\frac{1}{2}1800*(10*10^{-2})+0-13.7d=0+0\\d=0.66m[/tex]

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