a 200 kg load is hung on a wire having a length of 4m, cross sectional area 0.00002m*m; and young modulus of 80000000000n/m*m what is the increase in length
To calculate the increase in length of the wire when a load is applied, we can use the formula for the strain on the wire:
Strain = Stress / Young's Modulus
First, let's calculate the stress on the wire when the load is applied:
Stress = Force / Area
Stress = 200 kg * 9.81 m/s^2 / 0.00002 m^2
Stress = 981000 N / 0.00002 m^2
Stress = 49050000000 N/m^2
Now, we can calculate the strain on the wire:
Strain = 49050000000 N/m^2 / 80000000000 N/m^2
Strain = 0.6125
Finally, we can calculate the increase in length of the wire:
Increase in length = Strain * Original Length
Increase in length = 0.6125 * 4m
Increase in length = 2.45 meters
Therefore, the increase in length of the wire when the 200 kg load is hung on it is 2.45 meters.