Need help with hw momentum and collisions

AI Thread Summary
The discussion revolves around 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, highlighting the minuscule effect of a human jump on the Earth's motion. Participants are encouraged to consider the mass and velocity of both the jumper and the Earth in their calculations. The key takeaway is that the common center of mass remains stationary, necessitating that the momentum of the jumper and the Earth balance each other. Understanding these concepts is crucial for solving the problem effectively.
ballahboy
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i hav 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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