Based on Coulomb’s law, which quantities does the acceleration of a charged particle due to the Coulomb force depend on?
The acceleration does not depend on the charge nor on the mass.
The acceleration depends on both the charge and the mass.
The acceleration depends on the charge but not on the mass.
The acceleration depends on the mass but not on the charge.
k Q1 Q2 /d^2 charges give force
Force = m * acceleration
so
a = (1/m)k Q1 Q2 /d^2
both charges and mass
According to Coulomb's law, the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as F = k * (q1 * q2) / r^2, where F is the force, q1 and q2 are the charges of the particles, r is the distance between them, and k is the proportionality constant.
Acceleration, on the other hand, is defined as the rate at which an object's velocity changes over time. It is given by the equation a = F / m, where a is the acceleration, F is the force acting on the object, and m is the mass of the object.
From these equations, we can see that the acceleration due to the Coulomb force depends only on the force acting on the charged particle and its mass. Therefore, the correct answer is: The acceleration depends on the mass but not on the charge.