Question

If a piece of elastic wire 2 meters long and 3 centimeters in diameter increases its length by 2.5 cm when a force of 0.25 is applied to its area than Find the force applied on the string and the Young's scale of the string?​

Answer 1

The force applied on the string is 0.25 N and the Young's modulus of the string is 10 N/m

Step-by-step explanation:

The force applied on the string can be calculated using the equation:

Force = (change in length * Young's modulus) / original length

The Young's modulus of the string can be calculated using the equation:

Young's modulus = (Force * original length) / change in length

Plugging in the given values:

Force = (2.5 cm * Young's modulus) / 2 m

= (0.025 m * Young's modulus) / 2 m

= 0.025 * Young's modulus

= 0.25 (given)

= 0.25 N

Young's modulus = (0.25 N * 2 m) / 0.025 m

= 10 N/m