An electron is accelerated by a constant clectric ficld of...

An electron is accelerated by a constant clectric ficld of magnitude $300 \mathrm{~N} / \mathrm{C}$. (a) Find the acceleration of the electron. (b) Use the equations of motion with constant acceleration to find the electron's speed after $1.00 \times 10^{-8} \mathrm{~s}$, assuming it starts from rest.

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Key Concepts

Electric Field

An electric field is a region of space in which a charged particle experiences a force. It is defined as the force per unit charge and is a vector quantity. The presence of an electric field causes charged particles to accelerate, with the magnitude and direction of the force depending on both the electric field and the charge of the particle.

Force on a Charged Particle

The force experienced by a charged particle in an electric field is given by the equation F = qE, where F is the force, q is the charge of the particle, and E is the electric field. This relation is fundamental in understanding how electric fields influence the motion of charged particles.

Newton's Second Law

Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, expressed as a = F/m. This principle allows us to calculate the acceleration of any object, including charged particles, when the applied force is known.

Constant Acceleration Kinematics

When an object experiences constant acceleration, its motion can be described by the kinematic equations. These equations relate displacement, initial velocity, acceleration, time, and final velocity, and are essential tools for solving problems involving uniformly accelerated motion.

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