(101)Conservation of linear momentum

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SUMMARY

The discussion centers on the conservation of linear momentum, specifically involving a scenario where an 86.7 kg man throws a 0.1 kg book at a speed of 11.2 m/s on a frictionless ice surface. The correct application of the momentum conservation equation, m1v1 = m2v2, reveals that the man's resulting speed is 0.0129 m/s. The initial calculation of 0.0723 m/s was incorrect due to a miscalculation, highlighting the importance of careful arithmetic in physics problems.

PREREQUISITES
  • Understanding of linear momentum and its conservation principles
  • Familiarity with basic algebra and arithmetic operations
  • Knowledge of mass and velocity units (kg and m/s)
  • Experience with solving physics problems involving two-body interactions
NEXT STEPS
  • Study the principles of conservation of momentum in more complex systems
  • Explore the effects of friction on momentum conservation
  • Learn about impulse and its relationship to momentum changes
  • Practice solving similar problems using different mass and velocity values
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of momentum conservation in real-world scenarios.

WPCareyDevil
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[SOLVED] (101)Conservation of linear momentum

Homework Statement


A 86.7 kg man is standing on a frictionless ice surface when he throws a 0.1 kg book at 11.2 m/s. With what speed does the man move across the ice as a result?


Homework Equations


Since the momentum of the thrown book must equal that of the man in the opposite direction, m1v1=m2v2, or so I thought.


The Attempt at a Solution



I solved for the momentum of the book (.1)(11.2)=1.12 and then set that equal to the man*v

So... 1.12=86.7v, v=.0723

But that's was incorrect. So, no credit on my webassign homework but I would still like to understand how to solve it. Can someone help me out?
 
Physics news on Phys.org
When I divide 1.12 by 86.7, I get 0.01291811 ;-)
 
UGH! you're completely right... I mustve just been to antsy with the ANS key on my calculator... how irritating. But my reasoning is sound I assume?
 

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