Need help with hw momentum and collisions

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SUMMARY

The discussion focuses on calculating the recoil speed of the Earth when a person jumps, emphasizing the conservation of momentum principle. The estimated recoil speed is approximately 10^-23 m/s, derived from the equation where the product of the person's mass and velocity equals the Earth's mass times its recoil velocity, maintaining the center of mass at rest. Participants are encouraged to visualize the Earth as a solid object and to state the physical quantities used in their calculations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of momentum conservation
  • Basic knowledge of mass and velocity relationships
  • Ability to perform calculations with scientific notation
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  • Research the principles of conservation of momentum in physics
  • Study the effects of mass and velocity on recoil in collisions
  • Explore examples of momentum calculations involving large masses
  • Learn about the implications of jumping on Earth’s motion in a theoretical context
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ballahboy
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i have no clue how to do this problem...

How fast can you set the Earth moving? In particular, when you jump straight up as high as you can, you give the Earth a maximum recoil speed of what order of magnitude? Visualize the Earth as a perfectly solid object. In your solution state the physical quantities you take as data and the values you measure or estimate for them.

Can anyone help me with this?
btw, the answer should be about 10^-23m/s
 
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Remember that your common center of mass remains at rest at all times..
 
Your mass times velocity must equal the Earth's mass time velocity (but with opposite sign in order that the total remain 0.
 

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