Question

the distance between earth and moon is 7.35 ×10^22 kg what is the magnitude of gravitational force excert on each other​

Answer 1

We have to use the formula

F=G⋅M⋅md2F=G⋅M⋅md2 to calculate the force of attraction between Earth and Moon. I will be using the scientific notation in a way that 12E34 means 12 × 10^34.

These are the values we have to use:

Mass of Earth (mₑ) = 5.972E24 kg

Mass of Moon (mₘ) = 7.34767309E22 kg

Distance between Earth and Moon (d) = 384,400 km = 3.844E8 m

F=6.674×10−11⋅5.972×1024⋅7.34767309×1022(3.84×108)2F=6.674×10−11⋅5.972×1024⋅7.34767309×1022(3.84×108)2

F=6.674⋅5.972⋅7.3476730914.7456×10351016F=6.674⋅5.972⋅7.3476730914.7456×10351016

F=19.86064×1019F=19.86064×1019

F=1.986064×1020F=1.986064×1020 N is your answer.