The mass of the Earth is 6.0x10^24 kg and its radius is 6.4x10^6m, calculate the orbital speed of the moon around the earth, the orbit of the moon is a circle of approximate radius of 60R where R is the radius of the earth and a mass m.
M=6.0x1024kg create info list of information given in the question converting all values to SI unitsR=6.4x106mF=GMm/r2 F=mv2/r write down any necessary equations Force due to the gravitational attraction of the moon and the earth is equal to the centripetal force experienced by the moon due to the earth.equate the two equations and rearrange for vmv2/r = GMm/r2v=sqrt(GM/r) G=Gravitational Constant 6.67x10-11Plug in the numerical values on the calculatorv=1020.87 calculate to appropriate number of sig figs and add unitsv=1000ms-1
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