the two upper front teeth of a person exert a total force of 30 N on a piece of steak.IF THE BITING EDGE OF EACH TOOTH MEASures 10mm x 1 mm,find the pressure on the steak
To find the pressure on the steak, we need to divide the force exerted by the area of contact between the front teeth and the steak.
Step 1: Calculate the area of contact:
Given that each tooth has a biting edge of dimensions 10 mm x 1 mm, we can find the total area of contact by summing up the area of both teeth. Since there are two teeth, the total area of contact is 2 x (10 mm x 1 mm).
Area of contact = 2 x (10 mm x 1 mm)
Area of contact = 20 mm^2
Step 2: Calculate the pressure:
Pressure is defined as force per unit area. In this case, the total force exerted by the front teeth is 30 N, and the area of contact is 20 mm^2.
Pressure = Force / Area of contact
Pressure = 30 N / 20 mm^2
However, it's important to note that we need to have the units in a consistent form. mm^2 is not a standard unit for pressure, so we need to convert it to a standard unit like Pascal (Pa). 1 mm^2 = 1 x 10^-6 m^2.
Pressure = 30 N / (20 mm^2 x 1 x 10^-6 m^2)
Pressure = 30 N / 2 x 10^-5 m^2
Pressure = 30 N / 2 x 10^-5 m^2
Pressure = 1.5 x 10^6 Pa
Therefore, the pressure exerted on the steak by the person's front teeth is 1.5 x 10^6 Pascal (Pa).