Question 2: Composite materials are often used to improve the performance of materials in order to achieve desirable properties. For example, to make the synthetic bone [BioMED] implants, collagen and BMP-2 (bone morphological protein-2) are mixed with hydroxyapatite for better bone formation. In one case, a 10-mm diameter 20-mm long BioMED rod has been made using 45-54-1% by weight [45% of the mass is collagen, 54% of the mass is hydeoxyapatite, and 1% of the mass is BMP-2] of the materials to test its properties. Using the following data, answer the following questions:

Material	Youngs Modulus (GPa)	Strength (MPa)	Density (g/cm3)
Collagen	1	10 (yield)	1
Hydroxyapatite	100	100 (fracture)	3.2
BMP-2	0	0	1

1. Calculate the density of the BioMED
2. Calculate the Youngs modulus of the BioMED
3. Give the reason why you would not use BMP-2 to make the BioMED (hint: following the voigt model, E_cV_c=E₁V₁+E₂V₂+E₃V₃,

_cV_c=₁V₁+ ₂V₂+₃V₃, Here E is modulus, V is volume fraction and is density)