A wire of length 4 meters is stretched by a force of 800 N, resulting in a strain of 0.02. What is the Young's modulus of the material?

Sure, to find the Young's modulus of the material, we can use the formula:

Young's modulus (Y) = Stress / Strain

First, we need to find the stress. Stress is defined as the force per unit area. However, we don't have the cross-sectional area of the wire. But we know that stress can also be calculated as Force / Extension.

We have the force (800 N) and we can find the extension of the wire using the formula:

Extension = Original length * Strain Extension = 4 m * 0.02 = 0.08 m

Now we can find the stress:

Stress = Force / Extension Stress = 800 N / 0.08 m = 10000 N/m

Now we can find the Young's modulus:

Young's modulus (Y) = Stress / Strain Y = 10000 N/m / 0.02 = 500000 N/m² or 500000 Pa

So, the Young's modulus of the material is 500000 Pa.