Answer:
(a) 54669.26 N
(b) 16473.996 N
Explanation:
(a)
From the question,
D = m/v................ Equation 1
Where m = mass of copper, D = density of copper, v = volume of copper.
make m the subject of the equation
m = D×v...............Equation 2
Given: v = 2.2 ft³ = (2.2×0.0283) m³ = 0.6226 m³
Constant: D = 8960 kg/m³
substitute into equation 2 above
m = 8960×0.6226
m = 5578.496 kg
W = mg
W = 5578.496×9.8
W = 54669.26 N
(b)
Also
Density= mass/volume.
D = m/v ............. Equation 3
Where D = density of aluminum, m = mass of aluminum, v = volume
make m the subject of the equation
m = D×v............. Equation 4
Given: v = 2.2 ft³ = 2.2×0.0283 = 0.6226 m³
Constant: D = 2700 kg/m³
Substitute into equation 4
m = 2700×0.6226
m = 1681.02 kg
But
W = mg
where W = weight, g = acceleration due to gravity
W = 1681.02×9.8
W = 16473.996 N
