a)
[tex]Dane:\\V = 10 m^{3}\\d = 1,3\frac{kg}{m^{3}}\\g = 10\frac{N}{kg}\\Szukane:\\m = ?\\F = ?\\\\d = \frac{m}{V} \ \ \rightarrow \ \ m = V\ \cdot p\\\\m = 10 \ m^{3}\cdot1,3\frac{kg}{m^{3}} = \boxed{13 \ kg}\\\\F = m\cdot g = 13 \ kg\cdot10\frac{N}{kg} = \boxed{130 \ N}[/tex]
b)
[tex]Dane:\\S = 10 \ m^{2}\\p_{a} = 1000 \ hPa = 100 \ 000 \ Pa = 100 \ 000 \ \frac{N}{m^{2}}\\Szukane:\\F_{n} = ?\\\\p = \frac{F_{n}}{S} \ \ \rightarrow \ \ F_{n} = p\cdot S\\\\F_{n} = 100000\frac{N}{m^{2}} \cdot10 \ m^{2}} \\\\\boxed{F_{n} = 1 \ 000 \ 000 \ N = 1000 \ kN = 1 \ MN}\\\\1 \ kN = 1000 \ N\\1 \ MN = 1 \ 000 \ 000 \ N[/tex]
Powtórnie.
a)
Dane:
V = 10 m ³
d = 1,3 kg/m³
g = 10 N/kg
Szukane:
m = ?
F = ?
d = m/V ⇒ m = V · d
m = 10 m³ · 1,3 kg/m³ = 13 kg
F = m · g
F = 13 kg · 10 N/kg = 130 N
b)
Dane:
S = 10 m²
pa = 1000 hPa = 100 000 Pa = 100 000 N/m²
Szukane:
Fn = ?
p = Fn/S ⇒ Fn = p · S
Fn = 100 000 N/m² · 10 m²
Fn = 1 000 000 N = 1000 kN = 1 MN
