Engineers discover that the electric potential between two electrodes can be modeled as V(x)=V0ln(1+x/d), where V0 is a constant, x is the distance from the first electrode in the direction of the second, and dd is the distance between the electrodes.

Aspring is used to stop a 50-kg package which is moving down a 20º incline. the spring has a constant k = 30 kn/m and is held by cables so that it is initially compressed 50 mm. knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.