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  • Help me please, A ball collides with a second ball at rest. After the collision, the first ball comes to rest and the second ball moves off at the speed of the first ball. In this collision

 A ball collides with a second ball at rest. After the collision, the first ball comes to rest and the second ball moves off at the speed of the first ball. In this collision
 

  • Option 1)

    total momentum is not conserved.
     

  • Option 2)

    total kinetic energy is not conserved.
     

  • Option 3)

     total momentum is conserved but total kinetic energy is not conserved.
     

  • Option 4)

    total momentum and total kinetic energy are conserved and the masses are equal

 

Answers (1)

As learnt in

Perfectly Elastic Collision -

Law of conservation of momentum and that of Kinetic Energy hold good.

- wherein

\frac{1}{2}m_{1}u_{1}^{2}+\frac{1}{2}m_{2}u_{2}^{2}= \frac{1}{2}m_{1}v_{1}^{2}+\frac{1}{2}m_{2}v_{2}^{2}

m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}

m_{1},m_{2}:masses

u_{1},v_{1}:initial \: and\: final \: velocity\: of \: the\: mass\ m_{1}

u_{2},v_{2}:initial \: and\: final \: velocity\: of \: the\: mass\ m_{2}

 

 Both momentum and energy will be conserved.


Option 1)

total momentum is not conserved.
 

This option is incorrect

Option 2)

total kinetic energy is not conserved.
 

This option is incorrect

Option 3)

 total momentum is conserved but total kinetic energy is not conserved.
 

This option is incorrect

Option 4)

total momentum and total kinetic energy are conserved and the masses are equal

This option is correct

Posted by

Vakul

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