Answer:
Force to stretch the wire is 250 N
Explanation:
As we know that modulus of elasticity will remain the same for the wire if the applied stretch to the wire is within elastic limit
So we will have
[tex]\frac{F L}{\Delta L A} = constant[/tex]
now we have
[tex]\frac{F_1 L}{\Delta L_1 A} = \frac{F_2 L}{\Delta L_2 A}[/tex]
so we can write it as
[tex]F_2 = \frac{F_1 L_2}{L_1}[/tex]
[tex]F_2 = \frac{50 (0.05)}{0.01}[/tex]
[tex]F_2 = 250 N[/tex]