A permanent magnet creates a homogenous magnetic field B~

inside a rectangular region. The magnet is moving with a velocity
~v ⊥ B~ . A particle at rest with mass m and charge Q is on the
path of the magnet. Assume that the magnet has a mass much
larger than the particle and that its speed is such that vm/(BQ)
is much less than the lateral extension of the region with magnetic
field.
1. What will be the velocity of the particle (magnitude and
direction) a long time after the magnetic field has reached
and passed its original position?
2. Determine the initial force on the particle in the reference frame in which it is initially at rest
3. Determine the initial force of the particle in the reference frame in which the magnet is at rest.