Question

sub actiunea unei fortei de 5 n un arc sa deformat cu 2 cm. determina masa corpului care fiind suspendat de acest arc il va deforma cu 5 cm (g=10n/kg).ajutati-ma pliz?

Answer 1

$F_e_1=5 \ N \\ \triangle l_1=2 \ cm=0,02 \ m \\ \triangle l_2=5 \ cm=0,05 \ m \\ \boxed{m_2-?} \\ \bold{Rezolvare:} \\ \boxed{F_e=G=m \cdot 10 \ N/kg} \\ \boxed{k= \frac{F_e}{\triangle l} } \\ \Rightarrow m_2= \frac{G_2}{g}= \frac{F_e_2}{g} \\ F_e_2=k \cdot \triangle l_2 \\ k= \frac{F_e_1}{\triangle l_2}= \frac{5 \ N}{0,02 \ m} \\ k= 250 \ N/m \\ F_e_2=250 \ N/m \cdot 0,05 \ m \\ F_e_2=12,5 \ N \\ \Rightarrow G_2=12,5 \ N \\ m_2= \frac{12,5 \ N}{10 \ N/kg} \\ \Rightarrow \boxed{m_2=1,25 \ kg}.$