The block in the figure below lies on a horizontal frictionless surface and is attached to the free end of the spring, with a spring constant of 65 N/m. Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 2.8 N pulls the block in the positive direction of the x axis, stretching the spring until the block stops.
Assume that the stopping point is reached.

(a) What is the position of the block?

(b) What is the work that has been done on the block by the applied force?

(c) What is the work that has been done on the block by the spring force?
During the block's displacement, find the following values.
(d) The block's position when its kinetic energy is maximum.

(e) The value of that maximum kinetic energy.

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  1. F = k x so x = F/k

    Work done by force = U stored in spring = (1/2) k x^2

    Work done by spring = -(1/2) k x^2

    you let thew block go for d I assume
    then the minimum U is when x = 0 and that is the maximum speed and kinetic Energy

    Max KE = U at max stretch x = (1/2) k x^2

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