  A particle of mass m movesthrough a region of space where it is subjectforceto aF(x) = Foe-kx?where F and k are constants(a) How much work does the force do on theoo?mass to move it fromT = 0 to x =(b) If it starts from rest, how fast is the massmoving when it is infinitely far away?

Question help_outlineImage TranscriptioncloseA particle of mass m moves through a region of space where it is subject force to a F(x) = Foe -kx? where F and k are constants (a) How much work does the force do on the oo? mass to move it from T = 0 to x = (b) If it starts from rest, how fast is the mass moving when it is infinitely far away? fullscreen
Step 1

(a)

According to the question force acts on particle along positive x direction and work done by given force is given by:

Step 2

Substitute limits given in question and value of force into equation (1) we get, help_outlineImage Transcriptionclose- F - kr e W F -( a) e -0-11 k (2) k fullscreen
Step 3

(b)

According to work energy theorem work done by all forces are equ...

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