A 62.0-kg boy and his 36.0-kg sister, both wearing rollerblades, face each other at rest. The girl pushes the boy hard,sending him backward with a velocity 3.10 m/s toward the west.Ignore friction.
(a) Describe the subsequent motion of the girl.
She will move west, in the same direction as her brother, with aspeed 3.10 m/s.She will move east, directly away from her brotherwith a speed 6.89 m/s.    She will move east,directly away from her brother with a speed 5.34 m/s.She will moveeast, directly away from her brother with a speed 1.55 m/s.
(b) How much potential energy in the girl's body is converted intomechanical energy of the boy–girl system?
J
(c) Is the momentum of the boy–girl system conserved in thepushing-apart process?
YesNo   Â
(d) If so, explain how that is possible considering there are largeforces acting. (If momentum is not conserved, enter \"Momentum isnot conserved.\")
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(e) If so, explain how that is possible considering there is nomotion beforehand and plenty of motion afterward. (If momentum isnot conserved, enter \"Momentum is not conserved.\")
