A helium nucleus, composed of two protons and two neutrons, is in motion within a magnetic fieldB= 1.25 kT. Its velocity is measured at 2.0 × 10⁷ m/s, as shown in the figure below. For every situation outlined, calculate the magnetic force, denoted as F, exerted on this helium nucleus. Please present your solution in terms of its components.

Work out the magnitude and direction of the total force experienced by the alpha particle in the image below. Specify direction as a clockwise or counterclockwise angle from the horizontal.

Two alpha particles move perpendicular to each other at velocities: v_a = 3.2 × 10 ⁶ î m/s and v_b = 2.5 × 10 ⁶ ĵ m/s. The alpha particles enter a region with a uniform magnetic field. Both particles will experience magnetic forces of magnitude of: F_a = 1.6 × 10 ^-15 k̂ N and F_b = -1.8 × 10 ^-15 k̂ N, respectively, while remaining within the same magnetic field. Calculate what the magnetic field's strength and direction will be given as a counterclockwise angle from the +x-axis. Also assume that v_a points along the +x-axis.