Given information
As we have given in the question:-
The croquet ball's mas,
The final velocity of the ball is half of the initial velocity of the croquet ball,
Let the second ball's mass be 
.
Initial velocity of the second ball, 
Step-by-step explanation
According to the law of conservation of momentum, the momentum before the collision is the same as the momentum after the collision of the elastic collision.
According to the law conservation of energy, the potential energy before the collision is the same as the potential energy after the collision of the elastic collision and it is given by,
Where,
The mass of the first ball is 
.
The initial velocity of the first ball is 
.
The mass of the second ball is .
The initial velocity of the second ball is 
.
The final velocity of the first ball is 
.
The final velocity of the second ball is 
.
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Physics: Principles with Applications
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