Final Answer:
The change in the tooth's length during an 807 N bite can be determined using Hooke's Law. The formula for Hooke's Law is ΔL = (F * L) / (A * Y), where ΔL is the change in length, F is the force applied, L is the original length, A is the cross-sectional area, and Y is the Young's modulus.
Step-by-step explanation:
Hooke's Law describes the relationship between the force applied to a material and the resulting deformation. In this case, we can use the formula to find the change in the tooth's length (ΔL) during a bite force of 807 N.
The formula is ΔL = (F * L) / (A * Y), where:
F is the force applied (807 N),
L is the original length of the tooth (1.8 cm),
A is the cross-sectional area of the tooth (1.5 cm²), and
Y is the Young's modulus of bone.
To solve for ΔL, we substitute the given values into the formula. Ensure that all units are consistent. After plugging in the values, perform the calculation to find the change in the tooth's length during the bite.
This calculation helps understand the extent of deformation the tooth undergoes due to the applied force, providing insights into the material properties of the tooth under stress.