elastic potential energy
Classical Mechanics
Level
2
consider two particles of equal masses and one body moving and having energy P and collided with identical particle at rest what is maximum elastic potential energy
P\4
P\6
P\2
P\9
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
as the initial energy of system is p because other particle is at rest
lets assume the moving particle moves with speed v and velocity of center of mass is v\2
initial energy of system is = mv^2\2 and we can conserve energy final energy = kineticenergy + elastic potential energy =mv^2\2
kinetic energy must be minimum and expression of final kinetic energy =1\2 mv^2 + reducedmass (vrelative ) ^2\2
as we want minimum kinetic energy velocity of centre of mass cannot be zero because their is no external force on system then( vrelative) must be zero then final energy is kinetic energy of centre of mass and equal to p\2 velocity of centre of mass is v\2 mass 2m subsituting in expression of mv^2\2 we get p\2 by applying conservation of energy we get p=p\2+elastic potential energy we get elastic potential energy= p\2