1.
[tex]Dane:\\m = 500 \ g = 0,5 \ kg\\h = 3 \ m\\g = 10\frac{m}{s^{2}}\\Szukane:\\E_{p} = ?\\\\E_{p} = mgh\\\\E_{p} = 0,5 \ kg\cdot10\frac{m}{s^{2}}\cdot3 \ m\\\\\boxed{E_{p} = 15 \ J}[/tex]
2.
[tex]Dane:\\m = 5 \ g = 0,005 \ kg\\v = 1000\frac{m}{s}\\Szukane:\\E_{k} = ?\\\\E_{k} = \frac{1}{2}mv^{2}\\\\E_{k} = \frac{1}{2}\cdot0,005 \ kg\cdot(1000\frac{m}{s})^{2}\\\\\boxed{E_{k} = 2 \ 500 \ J}[/tex]
3.
[tex]Dane:\\m = 0,5 \ kg\\v_{o} = 30\frac{m}{s}\\g = 10\frac{m}{s^{2}}\\Szukane:\\H = ?\\\\E_{p} = E_{k}\\\\mgH = \frac{mv_{o}^{2}}{2} \ \ /:mg\\\\H = \frac{v_{o}^{2}}{2g}\\\\H = \frac{(30\frac{m}{s})^{2}}{2\cdot10\frac{m}{s^{2}}} = \frac{900}{20} \ m\\\\\boxed{H = 45 \ m}[/tex]
