NEET Class neet Answered
Intial speed of particle at x= 0 is vo = 4 m/s
speed v4 of particle at x =4 is calculated from equation of motion " v42 = vo2 + ( 2 a S) " where a = 2 m/s2 is uniform accelerartion for the initial distance S = 4 m .
from x = 4 m to x = 8 m , acceleration changes with position
Let a = p x + q
at x =4 , a = 2 ; hence 4p+q = 2
at x =8 , a = 0 ; hence 8p+q = 0
By solving above equations , we get p = - 0.5 and q = 4 .
hence acceleation is
By integrating above expression on both sides from x = 4 m to x = 8 m , we get
Hence , we get speed v8 at x= 8 m by substituting v4 = m/s as , v8 = m/s
Hence . final kinetic energy is
---------------------------------------------------------------------------
By work-energy theorem, chane in kinetic energy equals Work done on partcile
Initial kinetic energy of particle at x = 0 m is
Change in kinetic energy = ( 20-8) J = 12 J
Total workdone on the particle = 12 J
-----------------------------------------
Workdone by conservative force = loss of potential energy = 120 - (-120) J = 240 J
-----------------------------------------------
Total workdone = Workdone by external force + workdone by conservative force
Workdone by external force = ( 12 - 240 ) J = -228 J
--------------------------------------------
My answers are not matching with the options in the given list .
However, I have given the correct method of calculating final energy , Total workdone . workdone by conservative force
and workdone by external force .