Q

# Can someone explain A 3.000 kg ball is pitched with a kinetic energy of 20.00 Joules. Then the momentum of the ball is-2

A 3.000 kg ball is pitched with a kinetic energy of 20.00 Joules. Then the momentum of the ball is

• Option 1)

7.500 kg m/s.

• Option 2)

8.350 kg m/s.

• Option 3)

9.450 kg m/s.

• Option 4)

10.95 kg m/s.

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As discussed in

Perfectly Elastic Collision -

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

- wherein

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

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

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

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

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

$P=\sqrt{2mk} = \sqrt{2\times 3\times 20}$

$P=\sqrt{120} = 10.95\:\: kg \:\:ms^{-1}$

Option 1)

7.500 kg m/s.

This solution is incorrect.

Option 2)

8.350 kg m/s.

This solution is incorrect.

Option 3)

9.450 kg m/s.

This solution is incorrect.

Option 4)

10.95 kg m/s.

This solution is correct.

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