kingteron4896 kingteron4896

26-10-2022
Physics

Answered

a ball of mass m collides completely inelastically in one dimension with another ball of mass 3m that is initially at rest (the balls stick together after the collision). what fraction of the initial kinetic energy is lost in the collision

Answer :

kumarprabhat kumarprabhat

30-10-2022

Fraction of the initial kinetic energy is lost in the collision f = 3/4.

Two balls of masses M and 3M kinetic energy

Initially before collision:

Speed of ball of mass M = −V0 (Right direction is taken as negative)

Speed of ball of mass 3M = +V0

Finally after collision: Speed of ball of mass M = v

Speed of ball of mass 3M = V02

[tex]Finding the fraction(f) of initial kinetic energy lost in the collisionf=1−Final Kinetic EnergyInitial Kinetic Energyf=1−12×M×(v02)2+12×3M×(v02)212×M×(−v0)2+12×3M×(v0)2f=1−v024v02f=1−14=34[/tex]

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