Respuesta :
Answer:
a)V= 0.0827 m³
b)P=181.11 x 10² N/m²
Explanation:
Given that
m = 81.5 kg
Density ,ρ = 985 kg/m³
As we know that
Mass = Volume x Density
81.5 = V x 985
V= 0.0827 m³
The force exerted by weight = m g
F= m g= 81.5 x 10 = 815 N ( Take ,g= 10 m/s²)
Area ,A= 4.5 x 10⁻² m²
The Pressure P
[tex]P=\dfrac{F}{A}[/tex]
[tex]P = \dfrac{815}{4.5\times 10^{-2}}\ N/m^2[/tex]
P=181.11 x 10² N/m²
(a) The volume of the man's body is 0.0827 m³
(b) The average pressure exerted on the ground is 177.48 x 10² N/m²
Volume and pressure:
(a) Given information:
mass of the man m = 81.5 kg
Density, ρ = 985 kg/m³
No
Mass = Volume x Density
81.5 = V x 985
V= 0.0827 m³
(b) The weight of the man is given by:
F = mg
F = 81.5 × 9.8
F = 798.7 N
Given that the area of the feet is:
A= 4.5 x 10⁻² m²
The Pressure P is given by:
P = F/A
P = (798.7) / (4.5 x 10⁻²) N/m²
P = 177.48 N/m²
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