Question

Determine a força de atração gravitacional da Terra sobre a Lua,sendo dados:?
massa da Lua=1.1023; massa da Terra=6.1024kg;distância do centro da Terra ao centro da Lua =4.105km;G=6,7.10-11 N.m2/kg2

Answer 1

$F=(G)\cdot\dfrac{(M)\cdot{(m)}}{d^2}\\\\\\F=\left(6{,}7\cdot10^{11}\dfrac{Nm^2}{kg^2}\right)\cdot\dfrac{(6\cdot10^{24}kg)\cdot(1\cdot10^{23}kg)}{(4\cdot10^5km)^2}\\\\\\F=\left(6{,}7\cdot10^{11}\dfrac{Nm^2}{kg^2}\right)\cdot\dfrac{6\cdot10^{47}kg^2}{(4\cdot10^8m)^2}\\\\\\F=\dfrac{40{,}2\cdot10^{58}}{16\cdot10^{16}}N\\\\\\F=\dfrac{4{,}2\cdot10^{59}}{1,6\cdot10^{17}}N\\\\\\\boxed{F=2{,}625\cdot10^{42}N}$