A block of mass m having a charge q is placed on a smooth horizontal table
Answers
your question is incomplete. A complete question is ---> A block of mass m having charge q is placed on smooth horizontal table and is connected to a wall through an unstressed spring of spring constant k . A horizontal electric field is switched on. Find the amplitude of the resulting SHM on the block.
solution : mass of block = m
charge on block = q
spring constant of connected spring to block and wall = k
horizontal electric field = E
if horizontal electric field applied, an accelerating force acts right direction on the block. This force is balanced by spring force because spring is also connected to block. Let x is maximum extension of spring.
so, spring force = electrostatic force
or, kx = qE
or x = qE/k
we know, maximum extension of spring is not other than amplitude.so, amplitude is qE/k