Please solve example 10.1 with detailed steps and calculations (I meant mathematical calculations).

Dear student,
Force = F = G*M_{​​​​​​earth}*M_{​​​​​moon} / R​​​​​​2 
               F = 6.8*10^-11*6*10²⁴*7.4*10²² / (3.84*10⁸)² 
                   F = 2.017*10²⁰ N (Answer)

Regards,