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A particle of charge q and mass m moves ...

A particle of charge q and mass m moves along the x-axis under the action of an electric field `E=k-cx`, where 'c' is a positive constant and x is the distance from the point, where the particle was initially at rest. Calculate:
(a) distance travelled by the particle before it comes to rest.
(b) acceleration at the moment, when it comes to rest.

Text Solution

AI Generated Solution

To solve the problem, we will break it down into two parts as given in the question. ### Part (a): Distance travelled by the particle before it comes to rest 1. **Identify the electric field**: The electric field is given as \( E = k - cx \), where \( k \) is a constant, \( c \) is a positive constant, and \( x \) is the distance from the initial position. 2. **Calculate the force on the particle**: The force \( F \) acting on the particle due to the electric field is given by: \[ ...
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