The figure$\_$shows a $2\mathrm{.}0$ kg block that is initially compressed by distance d onto a spring of spring constant $600\frac{N}{m}.$ When released, the block is sent sliding across a frictionless ramp. However, farther to the right and on a lower level it passes through a region of length $3\mathrm{.}0$ m where the coefficient of kinetic friction is $0\mathrm{.}60.$ It leaves that region with a speed of $5\mathrm{.}0\frac{m}{s}.$ What is $d(m)?$

a$)0\mathrm{.}69$

b$)0\mathrm{.}46$

c$)0\mathrm{.}11$

d$)1\mathrm{.}03$

e$)0\mathrm{.}39$