The Moon's mass is #7.34✕10^22# #kg#, and it is #3.8✕10^8# #m# away from Earth. Earth's mass is #5.97✕10^24# #kg#. How would you calculate the gravitational force of attraction between Earth and the Moon? What is Earth's gravitational field at the Moon?

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Answer 1 · 2015-10-28T15:10:26

#2.025*10^(20) ,0.002759#

a)#F=(G(m1)(m2))/(r^(2)) #
#F=(6.67300 × 10^(-11))(7.34 * 10^(22) kg)(5.97 * 10^(24) kg)/(3.8 * 10^(8) m)^2=2.025*10^(20) #

b) The field is just G(m)/r^2
#(6.67300 * 10^(-11))(5.97 * 10^(24) kg)/(3.8 * 10^(8) m)^2=0.002759#