A [latex]Zad.18\Dane:\F_1= 10N\r_1=20cm =0,2 m\r_2=0,5m\\Szukane :\F_2 = ?\\Rozwiazanie :\F_1*r_1 = F_2*r_2\F_2 = frac{F_1*r_1}{r_2} \\F_2 = frac{10*0,2}{0,5} = 4 N [/latex] [latex]Zad.19\Dane:\h=5m\a = 10 frac{m}{s^2}\\Szukane :\ Delta v = ?\\Rozwiazanie :\a = frac{Delta v}{Delta t}\Delta v = acdot Delta t\\h = frac{1}{2}at^2\t = sqrt{ frac{h}{1/2a} } \\t = sqrt{ frac{5}{1/2*10} }= sqrt{1} =1s\\Delta v = 10 cdot 1 \Delta v= 10 frac{m}{s} [/latex] B : [latex]Zad.18\Dane:\F_1 = 20N\r_1= 40cm =0,4m\r_2 = 1m\\Szukane :\F_2 = ? \\Rozwiazanie:\F_1*r_1=F_2*r_2 \F_2= frac{F_1*r_1}{r_2}\\F_2 = frac{20*0,4}{1} = 8 N[/latex] [latex]Zad.19\Dane:\Delta v = 10 frac{m}{s}\a=10 frac{m}{s^2}\\Szukane :\h = ?\\Rozwiazanie :\h = frac{1}{2}at^2 \\a = frac{Delta v}{Delta t}\Delta t = frac{Delta v}{a}\\Delta t = frac{10}{10}=1s \\h = frac{1}{2}cdot 10cdot1^2\h = 5m [/latex]
