[latex]1.\dane:\F_1 = 10 N\a_1 = a_2 = 0,2frac{m}{s^{2}}\szukane:\m_1 = ?\m_2 = ?[/latex] [latex]F = m*a /:a\\m = frac{F}{a}[/latex] [latex]m_1 = frac{F_1}{a_1} = frac{10N}{0,2frac{m}{s^{2}}} = 50 kg\\m_2 = frac{F_2}{a_2} = frac{4N}{0,2frac{m}{s^{2}}} = 20 kg\\m_1 > m_2[/latex] [latex]3.\dane:\H = 125 m\g = 10frac{m}{s^{2}}\szukane:\a) t = ?\b) v = ?[/latex] [latex]a)\\s = frac{1}{2}at^{2}\\s = H\a = g\\H = frac{1}{2}gt^{2} |*2\\gt^{2} = 2H /:g\\t^{2} = frac{2H}{g}\\t = sqrt{frac{2H}{g}} = sqrt{frac{2*125m}{10frac{m}{s^{2}}}}=sqrt{25} s\\t = 5 s[/latex] [latex]b)\E_{p} = E_{k}\\mgh = frac{1}{2}mv^{2} |*frac{2}{m}\\v^{2} = 2gH\\v = sqrt{2gH} = sqrt{2*10frac{m}{s^{2}}*125m}=sqrt{2500} frac{m}{s}\\v = 50frac{m}{s}[/latex]
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