Final answer:
The acceleration of a particle, initially at rest and subjected to perpendicular forces F1 and F2, will be a = F1/m if F2 is removed. This is calculated using Newton's second law of motion, Fnet = ma.
Step-by-step explanation:
The question pertains to the acceleration of a particle when subjected to multiple forces. In the given scenario, three forces are acting on a particle, and two of them (F1 and F2) are applied perpendicularly, keeping the particle at rest. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net external force acting on the object and inversely proportional to its mass. The formula is given by Fnet = ma, where Fnet is the net force, m is the mass, and a is the acceleration.
If F2 is removed and the particle was initially at rest, only F1 remains. Since F1 was balanced by F2's force to keep the particle at rest, with F2 removed, F1 alone would cause the particle to accelerate. Therefore, the particle will have an acceleration that can be calculated by rearranging the second law equation to a = F1/m. Since the value of F1 and mass m have not been given, a numerical value for acceleration cannot be provided.