1.
[tex]m = 1500 \ kg\\a = 2,5\frac{m}{s^{2}}\\F = ?\\\\F = m\cdot a\\\\F = 1500 \ kg\cdot2,5\frac{m}{s^{2}}\\\\F = 3 \ 750 \ N = 3,75 \ kN[/tex]
2.
[tex]m = 6 \ 000 \ 000 \ mg = 6 \ kg\\F_{w} = 30 \ N\\a = ?\\\\a = \frac{F_{w}}{m}\\\\a = \frac{30 \ N}{6 \ kg} = 5\frac{N}{kg} = 5\frac{m}{s^{2}}[/tex]
3.
a) ... nazywamy ciężarem maskotki.
b) Niuton jest jednostką ciężaru, a kilogram jednostką masy.
c) ... jego masa się nie zmienia. Zmianie ulega zaś jego ciężar.
4.
[tex]m = 7 \ t = 7 \ 000 \ kg\\F = 14 \ 000 \ N\\v_{o} = 0\\t = 10 \ s\\v = ?\\\\a = \frac{F}{m} = \frac{14000 \ N}{7000 \ kg} = 2\frac{m}{s^{2}}\\\\v = a\cdot t\\\\v = 2\frac{m}{s^{2}}\cdot 10 \ s = 20\frac{m}{s}[/tex]
5.
a) 1000 kN = 1000 · 100 dN = 100 000 dN
b) 987,654 cN = 987,654 : 1000 daN = 0,987654 daN
6.
[tex]v_{o} = 0\\t = 3 \ s\\g = 10\frac{m}{s^{2}}\\h = ?\\\\h = \frac{1}{2}gt^{2}\\\\h = \frac{1}{2}\cdot10\frac{m}{s^{2}}\cdot(3 \ s)^{2}\\\\h = 45 \ m[/tex]
7.
[tex]v_{o} = 0\\h = 125 \ m\\g = 10\frac{m}{s^{2}}\\t = ?\\\\h = \frac{gt^{2}}{2} \ \ /\cdot2\\\\gt^{2} = 2h \ \ /:g\\\\t^{2} = \frac{2h}{g}\\\\t = \sqrt{\frac{2h}{g}}\\\\t = \sqrt{\frac{2\cdot125 \ m}{10\frac{m}{s^{2}}}} = \sqrt{25 \ s^{2}}}\\\\t = 5 \ s[/tex]
