Momentum and elasticity and this astronaut dude

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SUMMARY

The discussion centers on a physics problem involving momentum and elasticity, specifically in a scenario where an astronaut throws a massive ball at an elastic wall in space. The key question raised is whether the momentum of the ball doubles upon collision with the wall, despite the absence of external forces and the conservation of mass. The participants explore the implications of elastic collisions and the resulting velocities of both the astronaut and the ball after the interaction with the wall.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic principles of momentum conservation
  • Concept of elastic collisions in physics
  • Knowledge of velocity and mass relationships
NEXT STEPS
  • Study the principles of elastic and inelastic collisions in detail
  • Learn about momentum conservation in closed systems
  • Explore the mathematical equations governing elastic collisions
  • Investigate real-world applications of momentum and elasticity in space environments
USEFUL FOR

This discussion is beneficial for high school physics students, educators teaching mechanics, and anyone interested in the practical applications of momentum and elasticity in physics.

GreatEscapist
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In my physics class (School's over now, so I can't ask my teacher.) we had this interesting problem for our final. (No, this isn't homework) We didn't do elasticity, soo... I dunno.

An astronaut (It's in space to eliminate air resistance and gravity- it IS high school physics :-p) has a rather massive ball. Almost as massive as himself. He goes to a completely hard, elastic wall to play catch. When he throws the ball, though the ball is massive, he still could catch it if he were on the other side to catch. However, it hits the elastic wall and bounces back with enormous momentum. It knocks him back into space...

So, did the momentum double? Why? The mass did not change, and no force made it accelerate to a faster velocity... What made it change? How does elasticity interfere? The wall wasn't moving, so it can't push off more momentum.
 
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Have you tried conserving momentum? Assume that the ball has the same mass as the astronaut and that the wall is attached to a space station of humongous mass.

What are the velocities of the astronaut and the ball after he throws it?
What is the velocity of he ball after it collides with the wall?
 

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