Question

Por algum motivo o gabarito diz que a resposta é 20, alguém me ajuda?

Answer 1

$F = G\frac{M_1 M_2}{d^2}$

$F_{AB} = G\frac{5M \times 2M}{(2d)^2}\\F_{AB} = G\frac{10M^2}{4d^2}\\ F_{AB} = G\frac{5M^2}{2d^2}$

$F_{CB} = G\frac{2M \times M}{(4d)^2}\\F_{CB} = G\frac{2M^2}{16d^2}\\F_{CB} = G\frac{M^2}{8d^2}$

$\frac{F_{AB}}{F_{CB}} = \frac{G\frac{5M^2}{2d^2}}{G\frac{M^2}{8d^2}}\\\\\frac{F_{AB}}{F_{CB}} = \frac{\frac{5}{2}}{\frac{1}{8}}\\\\\frac{F_{AB}}{F_{CB}} = \frac{40}{2} = 20$