Question

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

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is
`F_(spring) = - k * x_f`

Step-by-step explanation:

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

`F_(spring) = - k * \Delta x`

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

k is the spring constant

and
`\Delta x` is the distance through which the spring moves the mass which is mathematically evaluated as

`\Delta x = x_f -x_i`

=>
`F_(spring) = - k * [ x_f -x_i]`

Given that
`x_i = 0 \ m`

`F_(spring) = - k * x_f`