A $240-$kg electromagnet is at rest and is holding $100$ kg of scrap steel when the current is turned off and the steel is dropped. The cable and the supporting crane have a total stiffness equivalent to a spring of constant $200$ kN$/$mkN$/$m $.$

Determine the velocity of the magnet $0\mathrm{.}03$ s after the current is turned off. $($Round the final answer to three decimal places.$)$

The velocity of the magnet is x$.=$x$.=$ m$/$s$$m$/$s$.$

Determine the minimum tension that will occur in the cable during the motion.

The minimum tension is Tmin$=$Tmin$=$ N$.$