Final answer:
If the particle's charge is tripled and the electric field is halved, the new force experienced by the particle will be 1.5 times the original force.
Step-by-step explanation:
The force experienced by a particle in an electric field is given by the product of the charge of the particle (q) and the electric field strength (E), expressed as F = qE. If the particle's charge is tripled, the new charge becomes 3q, and if the electric field strength is halved, the new electric field strength becomes E/2. Therefore, the new force experienced by the particle will be F' = (3q) * (E/2).
F' = 3/2 * qE, which means the new force will be one and a half times the original force (or 1.5F). So if the original force was F, the force experienced by the particle is now 1.5 times F.