Two astronauts at rest face each other in space. One, with mass m1, throws a ball of mass mb the other, whose mass is m2. She catches the ball and throws is back to the first astronaut following each throw the ball has a speed of v relative to the thrower. Let the direction that Astronaut 1 first throw the ball to the positive direction.  After each has made one throw and one catch how fast are the astronauts moving? How much has the two-astronaut system’s kinetic energy changed  Where did the energy come from?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Two astronauts at rest face each other in space. One, with mass m1, throws a ball of mass mb the other, whose mass is m2. She catches the ball and throws is back to the first astronaut following each throw the ball has a speed of v relative to the thrower. Let the direction that Astronaut 1 first throw the ball to the positive direction. 

After each has made one throw and one catch

  1. how fast are the astronauts moving?
  2. How much has the two-astronaut system’s kinetic energy changed 
  3. Where did the energy come from?
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