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?

Question

99405 views around the world

You can reuse this answer
Creative Commons License

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#