The Magnetic Levitation Toy · AI Generator #GEN-0C5EFE17

Physics · electromagnetism

Problem

A popular physics demonstration involves a small permanent magnet (mass

m = 2.0\;\text{g}

) levitating above a superconducting disk. When the magnet is displaced vertically by a small distance

\Delta z = 1.5\;\text{mm}

from its equilibrium position and released, it oscillates with a period of

T = 0.40\;\text{s}

. The magnetic force on the magnet can be approximated as

F = -k\Delta z

near equilibrium, where

k

is an effective spring constant. What is the value of this effective spring constant

k