This is a symbolic version of Problem 23.A girl of mass mG is standing on a plank of mass mP. Both are originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity vGP to the right relative to the plank. (The subscript GP denotes the girl relative to plank.) (a) What is the velocity vPI of the plank relative to the surface of the ice? (b) What is the girl’s velocity vGI relative to the ice surface?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 6P: A girl of mass mg is standing on a plank of mass mp. Both are originally at rest on a frozen lake...
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This is a symbolic version of Problem 23.A girl of mass mG is standing on a plank of mass mP. Both are originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity vGP to the right relative to the plank. (The subscript GP denotes the girl relative to plank.)

(a) What is the velocity vPI of the plank relative to the surface of the ice?

(b) What is the girl’s velocity vGI relative to the ice surface? (please show step by step how to get the final answer for part b I don't understand the factoring or how the fraction goes from (mG/(mG+mP)) to (mP/(mG+mP)))

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