A particle of mass m and charge q is in a room that is affected by a constant magnetic field with vector B = = B2 as well as a constant gravitational field with vector g=-gŷ. Particles are initially held at rest, until one day they are released and fall under the influence of gravity. The fall of the particle certainly causes the particle to have a number of speeds, and this of course causes the particle to experience Lorentz forces at the same time as the gravitational force that affects the particle. Due to the influence of the Lorentz force, the particle will experience a bend so that there is a condition where the particle no longer has the velocity component ŷ and begins to move upward, say this state occurs at the lowest point of the particle's path. a) Determine the velocity of the particle at its lowest point. b) Same as part a), only if initially the particle is thrown downward with initial velocity u

A particle of mass m and charge q is in a room that is affected by a constant magnetic field with vector B = = B2 as well as a constant gravitational field with vector g=-gŷ. Particles are initially held at rest, until one day they are released and fall under the influence of gravity. The fall of the particle certainly causes the particle to have a number of speeds, and this of course causes the particle to experience Lorentz forces at the same time as the gravitational force that affects the particle. Due to the influence of the Lorentz force, the particle will experience a bend so that there is a condition where the particle no longer has the velocity component ŷ and begins to move upward, say this state occurs at the lowest point of the particle's path. a) Determine the velocity of the particle at its lowest point. b) Same as part a), only if initially the particle is thrown downward with initial velocity u