A ball hits the floor and rebounds after inelastic collision. In this case
A ball hits the floor and rebounds after inelastic collision. In this case
The correct option is C The total momentum of the ball and the earth is conserved
Explanation for correct option:
C: The total momentum of the ball and the earth is conserved.
When ball and earth is considered as a whole system, there is no external force on it, hence the total momentum of the system will remain conserved.
Explanation for incorrect options:
A: The momentum of the ball just after the collision is the same as that just before collision.
When ball hits the floor and rebounds, there will be an impulsive force on the ball and hence velocity of the ball after collision will be different as compared to before the collision, therefore momentum of ball after collision will not be same before collision.
B: The mechanical energy of the ball remains the same in the collision.
In the inelastic collision, there is a loss of energy in the form of heat and sound hence mechanical energy of ball will not remain same.
D: The total energy of the ball and the earth is conserved.
In the inelastic collision, the mechanical energy is not conserved, hence the total energy of the ball and earth is not conserved.
Thus, the total momentum of the ball and earth is conserved.
The total momentum of the ball and the earth is conserved
Explanation for correct option:
C: The total momentum of the ball and the earth is conserved.
When ball and earth is considered as a whole system, there is no external force on it, hence the total momentum of the system will remain conserved.
Explanation for incorrect options:
A: The momentum of the ball just after the collision is the same as that just before collision.
When ball hits the floor and rebounds, there will be an impulsive force on the ball and hence velocity of the ball after collision will be different as compared to before the collision, therefore momentum of ball after collision will not be same before collision.
B: The mechanical energy of the ball remains the same in the collision.
In the inelastic collision, there is a loss of energy in the form of heat and sound hence mechanical energy of ball will not remain same.
D: The total energy of the ball and the earth is conserved.
In the inelastic collision, the mechanical energy is not conserved, hence the total energy of the ball and earth is not conserved.
Thus, the total momentum of the ball and earth is conserved.
