# A 3.000 kg ball is pitched with a kinetic energy of 20.00 Joules. Then the momentum of the ball is Option 1) 5.48 kg m/s      Option 2) 8.35 kg m/s      Option 3) 10.95 kg m/s      Option 4) 9.45 kg m/s

As learnt in

Perfectly Elastic Collision -

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

- wherein

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

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

$m_{1},m_{2}:masses$

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

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

$P = \sqrt{2mK} = \sqrt{2 \times 3\times 20} = \sqrt{120} = 10.95 \ Kg \ ms^{-1}$

Option 1)

5.48 kg m/s

This option is incorrect

Option 2)

8.35 kg m/s

This option is incorrect

Option 3)

10.95 kg m/s

This option is correct

Option 4)

9.45 kg m/s

This option is incorrect

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