Respuesta :
Answer:
The weight of the Astroturf is 179,684.31 Newtons.
Explanation:
Length of a soccer field = 0.06214 mile = 328.0992 feet
(1 mile = 5280 feet)
Breadth of a soccer field = 253 feet
Length of a Astroturf which soccer field is to be covered, l = 328.0992 feet
Breadth of a Astroturf which soccer field is to be covered ,b = 253 feet
Thickness of a Astroturf with which soccer field is to be covered = h
h = ½ inch = 0.5 inch = 0.041665 feet
(1 inches = 0.08333 feet)
Volume of the Astroturf ,V= l × b × h
[tex]V=328.0992 ft\times 253 ft\times 0.041665 ft=3,458.574 ft^3[/tex]
Mass of the Astroturf = m
Density of the Astroturf = d = 187 [tex]oz/ft^3[/tex]
[tex]d=\frac{m}{V}[/tex]
[tex]m=d\times V= 187 oz/ft^3\times 3,458.574 ft^3=646,753.35 oz[/tex]
1 oz = 0.0283495 kg
[tex]m=646,743.35 oz=646,743.35\times 0.0283495 kg=18,335.13 kg[/tex]
Weight of the Astroturf = W
W = mg
[tex]=W=18,335.13 kg\times 9.8 m/s^2=179,684.31 N[/tex]
The weight of the Astroturf is 179,684.31 Newtons.
