If we jumped a lot...

Stand up. Jump. When you jump you give yourself a velocity away from the earth. If you have a mass of 80 kg and can jump 1 m high, what is the magnitude of the velocity in m/s you imparted to the earth when you left the ground?

Details and assumptions

  • Treat yourself as a point mass.
  • The mass of the earth is \(6 \times 10^{24}\) kg.
  • The acceleration due to gravity is \(-9.8~m/s^2\).
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