6.
[tex]Dane:\\p = 113 \ MPa = 113\cdot1000000 \ Pa = 113 \ 000 \ 000 \ \frac{N}{m^{2}}\\d = 1030\frac{kg}{m^{3}}\\g = 10\frac{N}{kg}\\Szukane:\\h = ?\\\\p = dgh \ \ /:dg\\\\h = \frac{p}{dg}\\\\h = \frac{113000000\frac{N}{m^{2}}}{1030\frac{kg}{m^{3}}\cdot10\frac{N}{kg}}}\\\\\boxed{h \approx10 \ 971 \ m}[/tex]
7.
[tex]Dane:\\V = 0,008 \ m^{3}\\V_{z} = 75\%V = 0,75V = 0,75\cdot0,008 \ m^{3} = 0,006 \ m^{3}\\d=1260\frac{kg}{m^{3}}\\g = 10\frac{N}{kg}\\Szukane:\\F_{w} = ?\\\\F_{w} = d\cdot g\cdot V_{z}\\\\F_{w} = 1260\frac{kg}{m^{3}}\cdot10\frac{N}{kg}\cdot0,006 \ m^{3}}\\\\\boxed{F_{w} = 75,6 \ N}[/tex]
8.
[tex]Dane:\\V_{z} = 0,5V\\F_{w} = 7,5 \ kN = 7 \ 500 \ N\\d = 1030\frac{kg}{m^{3}}\\g = 10\frac{N}{kg}\\Szukane:\\V = ?\\\\F_{w} = d\cdot g\cdot V_{z} \ \ /:(d\cdot g)\\\\V_{z} =\frac{F_{w}}{d\cdot g}\\\\V_{z} = \frac{7500 \ N}{1030\frac{kg}{m^{3}}\cdot10\frac{N}{kg}}\\\\V_{z} = 0,728 \ m^{3}}[/tex]
Całkowita objętość tratwy:
[tex]V = 2V_{z}\\\\V = 2\cdot0,728 \ m^{3}\\\\\boxed{V = 1,456 \ m^{3}\approx1,5 \ m^{3}}[/tex]
9.
[tex]Dane:\\F_1 = 100 \ N\\S_1 = 0,05 \ m^{2}\\S_2 = 0,6 \ m^{2}\\Szukane:\\F_2 = ?\\\\\frac{F_1}{S_1} = \frac{F_2}{S_2}\\\\S_1\cdot F_2 = S_2\cdot F_1 \ \ /:S_1\\\\F_2 = \frac{S_2}{S_1}\cdot F_1\\\\F_2 =\frac{0,6 \ m^{2}}{0,05 \ m^{2}}\cdot100 \ N\\\\\boxed{F_2 = 1 \ 200 \ N = 1,2 \ kN}[/tex]
10.
[tex]Dane:\\S_2 = 0,8 \ m^{2}\\F_2 = 40 \ kN = 40 \ 000 \ N\\S_1 = 0,03 \ m^{2}\\Szukane:\\F_1 = ?\\\\\\\frac{F_1}{S_1} = \frac{F_2}{S_2}\\\\S_2\cdot F_1 =S_1\cdot F_2 \ \ /:S_2\\\\F_1 =\frac{S_1}{S_2}\cdot F_2\\\\F_1 = \frac{0,03 \ m^{2}}{0,8 \ m^{2}}\cdot40 \ 000 \ N\\\\\boxed{F_1 = 1 \ 500 \ N = 1,5 \ kN} [/tex]
