A particle of inertia m that carries charge q is held above an infinite sheet on

Question

A particle of inertia m that carries charge q is held above an infinite sheet on which the surface charge density is . The charge on the sheet is of the same type as the charge on the particle. The particle is then released from rest. Part A) What is the acceleration of the particle? Express your answer in terms of the variables m, q, , and constants k, , and g. Part B) What is the change in the kinetic energy of the particle after it has traveled a distance s? Express your answer in terms of the variables m, q, , s, and constants k, , and g.

Explanation / Answer

k, , and g

part a) let the accelertion of the system is a

using second law of motion

m * a = * 2 * k * *q

the accelertion is a = 2* k * *q/m

part b)

after travelling a distance s

change in kinetic energy = distance * force

change in kinetic energy = 2* k * *q * s

the change in kinetic energy is 2* k * *q * s

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