Question

Hydrogels are materials that are easily defomed. One experiment created hydrogel blocks that were 5.0 mm tall and had a 20 mm×20 mm base. With the base adhered to a horizontal Part A , surface, a sticky 20-mm.wide blade pulled the top surface of the What was the shear modulus for this hydrogen? hydrogel parallel to the surface, causing a shear deformation. A 5.9 N forcy. weighing only slightty more than a pound, pulled the too Express your answer in newtons per meter squared. surface 4.0 mm to the side. S= X Incorrect; Try Again; 5 attempts remaining

Answer 1

The shear modulus of the hydrogel in this experiment is 0.0118 N/m².

Step-by-step explanation:

The question asks for the shear modulus of a hydrogel, which is a measure of its resistance to shear deformation. The shear modulus can be calculated using the formula:

S = (F * L) / (A * d)

where:

S is the shear modulus, F is the applied shear force, L is the length of the shear displacement, A is the cross-sectional area of the hydrogel, and d is the thickness of the hydrogel.

In this experiment, the shear force was 5.9 N and the shear displacement was 4.0 mm. The cross-sectional area can be calculated by multiplying the base dimensions, which are 20 mm by 20 mm. The thickness of the hydrogel is given as 5.0 mm. Plugging these values into the formula, we can calculate the shear modulus:

S = (5.9 N * 4.0 mm) / (20 mm * 20 mm * 5.0 mm) = 0.0118 N/m²