1.
[tex]dane:\\m = 10 \ kg\\F_1 = 600 \ N\\F_2 = \frac{1}{2}F_1 = \frac{1}{2}\cdot600 \ N = 300 \ N\\szukane:\\a_1= ?\\a_2 = ?\\\\Rozwiazanie\\\\Z \ II \ zasady \ dynamiki\\\\a = \frac{F}{m}\\\\a_1 = \frac{F_1}{m}\\\\a_1 = \frac{600 \ N}{10 \ kg} = 60\frac{N}{kg} = 60\frac{m}{s^{2}}[/tex]
[tex]a_2 = \frac{F_2}{m}\\\\a_2 = \frac{300 \ N}{10 \ kg} = 30\frac{N}{kg} = 30\frac{m}{s^{2}}[/tex]
2.
[tex]dane:\\m = 100 \ g = 0,1 \ kg\\a = 10\frac{m}{s^{2}}\\szukane:\\F = ?\\\\F = m\cdot a\\\\Rozwiazanie\\\\F = 0,1 \ kg\cdot10\frac{m}{s^{2}} = 1 \ N[/tex]
3.
[tex]dane:\\F = 2 \ kN = 2 \ 000 \ N\\a = 4\frac{m}{s^{2}} = 4\frac{N}{kg}\\szukane:\\m = ?\\\\Rozwiazanie\\\\a = \frac{F}{m} \ \ \rightarrow \ \ m = \frac{F}{a}\\\\m = \frac{2000 \ N}{4\frac{N}{kg}}\\\\m = 500 \ kg[/tex]