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Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be xi

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Complete Question

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Answer:

The value is [tex]F_{spring} = - k * x_f[/tex]

Explanation:

Generally  the force exerted on the mass by the spring is mathematically represented as

         [tex]F_{spring} = - k * \Delta x[/tex]

Here the negative sign  shows that the force is acting in the negative x axis

        k is the spring constant

  and  [tex]\Delta x[/tex] is the distance through which the spring moves the mass which is mathematically evaluated as

      [tex]\Delta x = x_f -x_i[/tex]

=>   [tex]F_{spring} = - k * [ x_f -x_i][/tex]

Given that  [tex]x_i = 0 \ m[/tex]

   [tex]F_{spring} = - k * x_f[/tex]

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