Two wires, P and Q, are made from the same metal and hang vertically from a steel girder. Wire Q is half the length and twice the diameter of wire P.
Identical masses are attached to the bottom of each wire. Both wires obey Hooke’s law as they are stretched by the weight of the masses.
What is the ratio (extension of wire P)/(extension of wire Q)

Question

Two wires, P and Q, are made from the same metal and hang vertically from a steel girder. Wire Q is half the length and twice the diameter of wire P. 
Identical masses are attached to the bottom of each wire. Both wires obey Hooke’s law as they are stretched by the weight of the masses. 
What is the ratio (extension of wire P)/(extension of wire Q)

maddie21 · Answer

Wire Q has half the length and twice the diameter of wire P. Identical masses are attached to the bottom of each wire. Both wires obey Hooke's law as they.

Renne · Answer

The extension of wire P to the extension of wire Q is 4:1. This is because even though both wires are made from the same metal and have identical masses attached to them, wire Q is half the length and twice the diameter of wire P. Therefore, more force is required to stretch wire Q than wire P, resulting in a smaller extension for wire Q compared to wire P for the same weight of the masses.