A $125-$kg astronaut $($including space suit$)$ acquires a speed of $2\mathrm{.}10$ m$/$s by pushing off with her legs from a $1900-$kg space capsule. Use the reference frame in which the capsule is at rest before the push. What is the velocity of the space capsule after the push in the reference frame? If the push lasts $0\mathrm{.}500$ s$,$ what is the magnitude of the average force exerted by each on the other? What is the kinetic energy of the astronaut after the push in the reference frame? What is the kinetic energy of the capsule after the push in the reference frame?