I have already solve the problems in many time, but still cannot get the correct answer, can someone kindly help me to solve the problem, please?
1. Suppose the Moon is at a (center-to-center) distance D from Earth. Find an exact expression for the magnitude of the tidal force applied by Earth to our rock of mass m in terms of D, m, the mass of Earth M_e, and the lunar radius R_m
2. Assuming that D is much greater than R_m find an approximate expression for the same tidal force, using Newton's approximation.
3. Set your answer in 2 equal to your answer in F = G*m*(M_m)/(R_m)^2 to find a value for D for which tidal forces can lift rocks off the Moon, in terms of Rm and the masses of Earth (M_e) and Moon (M_m).
Evaluate the expression you find, expressing the answer in km, using R_m=1737.5km and M_m=0.0123M_e.
Only these three problem, please help, thank you
1 answer