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) = Eo'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).
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) = Eo'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).
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 10P: Particle A of charge 3.00 104 C is at the origin, particle B of charge 6.00 101 C is at (4.00 m,...
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Please solve problem 1 all part a,b and c ..
Transcribed Image Text:Problem 1-1D Electric force and collision
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).
Problem 2- Inclined planes and friction
Two boxes of masses ma and mg lie on a wedge and are connected by a massless cord going through a massless pulley, as shown in the figure.
The angles of the inclined planes with respect to the horizontal are, respectively, 0, and Og. The coefficient of static friction between the
boxes and the two planes is us. (a) Find formulas for the minimum and maximum values of ma/ma such that the two boxes remain stationary;
also, find the critical value of us such that box
s will never slide down the incline. (b) Assuming me/m, larger than the maximum value found
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