A rifle fires a bullet. Immediately after the bullet is fired, which of the following is NOT true?

  • Option 1)

    the rifle and the bullet have the same magnitude of momentum
     

  • Option 2)

    the force on the rifle due to the bullet and the force on the bullet due to the rifle have the same magnitude
     

  • Option 3)

    the rifle and the bullet do not have the same kinetic energy
     

  • Option 4)

    the rifle and the bullet have the same kinetic energy
     

 

Answers (1)

 

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}

 

 the rifle and the sullet have the same Kinetic energy 

 


Option 1)

the rifle and the bullet have the same magnitude of momentum
 

This option is incorrect

Option 2)

the force on the rifle due to the bullet and the force on the bullet due to the rifle have the same magnitude
 

This option is incorrect

Option 3)

the rifle and the bullet do not have the same kinetic energy
 

This option is incorrect

Option 4)

the rifle and the bullet have the same kinetic energy
 

This option is correct

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