Two particles of equal mass, m= 0.5 kg, are initially at rest (t=0). The first particle has an electric charge q = 0.1 C and its initial position is x1(0) = 0. The second particle is electrically neutral, and its initial position is x2(0) = 1.0 m. A time-dependent electric field, constant in space and directed along the x-axis, is switched-on at time t-0; for t 20, E(t) = Eg't, where Eo' = 0.03 N/C. s is a positive constant parameter. Thus, the electric field increases linearly with time. (a) Find the time it takes for the charged particle to reach and collide against the neutral particle (neglect friction and gravity); (b) Find the velocity of the charged particle immediately before the collision against the neutral particle; (c) Find the velocities of the two particles immediately after the collision, assuming the collision to be elastic and head-on (1D collision).
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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