Answer:
Mass = 873.6kg = 0.874 × 10^3 kg
Order = 3
Question:
Compute the order of magnitude of the mass of a bathtub half full of pennies.(Assume the pennies are made entirely of copper and the tub measures 1.3 m by 0.5 m by 0.3 m)
Explanation:
Given:
Dimensions of the tub = 1.3 m by 0.5 m by 0.3 m
Density of copper d = 8960kg/m^3
Mass = volume × density
Volume of tub = L×B×H = 1.3 × 0.5 × 0.3 = 0.195m^3
Since the tub is half full:
V = 0.195/2 = 0.0975m^3
Mass = 8960kg/m^3 × 0.0975m^3
Mass = 873.6kg = 0.874 × 10^3 kg
Order = 3
Note: Order of magnitude is of the form:
N = a × 10^b
Where;
b = order of magnitude
and
1/√10 </= a < √10
