A particle of mass m moving in the X direction with speed $$2v$$ is hit by another particle of mass $$2m$$ moving in the Y direction with speed v. If the collision is perfectly inelastic, the percentage loss of energy during the collision is close to

Question

A particle of mass m moving in the X direction  with speed $$2v$$ is hit by another particle of mass $$2m$$ moving in the Y direction with speed v. If the collision is perfectly inelastic, the percentage loss of energy during the collision is close to

Infinity Learn · Accepted Answer

Applying conservation of momentum   $$m2vi^+2mvj^=$$  $$3mv$$⇀'final velocity  v'→$$=$$  $$223v$$   final kinetic energy $$=$$  $$123m223v2=$$ $$43mv2initial$$ kinetic energy  $$=$$ $$12m(2v)2+12(2m)v2$$  $$=3mv2$$% loss of energy $$=$$  initial kinetic $$enegy-final$$ kinetic energyinitial kinetic energyx $$100=$$ $$56$$ %

A particle of mass m moving in the X direction with speed 2v is hit by another particle of mass 2m moving in the Y direction with speed v. If the collision is perfectly inelastic, the percentage loss of energy during the collision is close to

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