In a particle accelerator, if a less massive particle accelerates at 45 m/s², what is the acceleration of the more massive particle?

In a particle accelerator, the behavior of particles can often be described using Newton's second law of motion, which states that the acceleration of an object is proportional to the net force acting upon it and inversely proportional to its mass (F = ma). This means that for two particles experiencing the same net force, the relationship between their accelerations and masses is given by the formula:

[ a_1/a_2 = m_2/m_1 ]

where ( a_1 ) is the acceleration of the less massive particle, ( m_1 ) is the mass of the less massive particle, ( a_2 ) is the acceleration of the more massive particle, and ( m_2 ) is the mass of the more massive particle.

If the less massive particle accelerates at 45 m/s², it implies that the more massive particle will accelerate at a lower rate because the same force is applied to both, and the more massive particle has a greater mass. Given that the more massive particle's acceleration needs to be calculated, it can be determined by considering the relative masses.

Using the relationship outlined, the acceleration of the more massive particle will be less than that of the less massive particle. In this specific case