An inclined plane, at angle ==19.5 with the horizontal, is constructed on a lab table. A block, with mass m1=m1=3.07kgkg, is placed on the inclined plane, and it is attached to an ideal, meaning massless and inelastic, string that passes over an ideal, meaning massless and frictionless, pulley. The other end of the string is attached to a ball of mass m2=m2=0.493kgkg. The block is given an initial velocity with magnitude v=v=1.84m/sm/s directed parallel to and up the inclined plane, as shown in the sketch. The coefficient of kinetic friction is 0.23.

(a)What is the distance, in meters, that the block travels up the inclined plane before coming to rest?