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Football player 1 has a mass of 80 kg and a velocity of 2 m/s east while player 2 has a mass of 70 kg and a velocity of 3 m/s west. What is the total momentum of the system

Sagot :

Lanuel

The total momentum of the system is equal to 50 Kgm/s.

Given the following data:

  • Mass 1 = 80 kg
  • Velocity 1 = 2 m/s east.
  • Mass 2 = 70 kg
  • Velocity 2 = 3 m/s west.

To determine the total momentum of the system:

Mathematically, momentum is given by the formula;

[tex]Momentum = mass \times velocity[/tex]

For Football player 1:

[tex]Momentum = 80 \times 2[/tex]

Momentum 1 = 160 Kgm/s.

For Football player 2:

[tex]Momentum = 70 \times 3[/tex]

Momentum 1 = 210 Kgm/s.

Now, we can calculate the total momentum of the system:

[tex]Total\;momentum = momentum \;2 - momentum \;1\\\\Total\;momentum = 210-160[/tex]

Total momentum = 50 Kgm/s.

Note: We subtracted because the football players were moving in opposite directions.

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