The height at the start of a marble roller coaster is $1\mathrm{.}61$m$.$ The height when the marble stops moving is $\mathrm{.}22$m$.$ The length of the entire tract is $6\mathrm{.}13$m$.$ The mass of the marble is $\mathrm{.}004$kg$.$ The marble starts from rest and the final velocity is zero. Calculate the energy that was lost over the entire journey.