You need to measure the material constants of the cell by atomic force microscopy. Your atomic force microscope has a cylindrical cantilever of radius R = 0.45 µm, length L = 200 µm, and the Young’s modulus Ecl = 90 GPa. The cantilever tip is conical with half-angle \alphaαα = 30°. Your measurements show that the vertical displacement of the cantilever \DeltaΔΔz is proportional to the square of the penetration depth (sample height) \deltaδδ, with a coefficient of proportionality equal to 9,000 µm-1. Determine the Young’s modulus of the cell provided the Poisson’s ratio of the cell is 0.5.