$(4\%)$ Problem $20$: Space probes may be attached to their launchers by exploding bolts, which can be used to separate the parts affer takeoff. Suppose a $4750$ kg satelite uses this method to separate from the $1350-kg$ remains of its launcher, and that a total of $5050$ J of energy is supplied to the two parts by the explosion. This process is "perfoct" in the sense that the energy is transferred entirely to the motion of the system, rather than any deformations or other internal energy chingen.