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A ten year old boy (26 kg) sits on a wheeled office chair (16kg) holding a fire extinguisher (18kg when empty). He points the discharge horn to the right and ejects 9kg of carbon dioxide at 20m/s. What is his velocity after the fire extinguisher is emptied

Respuesta :

onyebuchinnaji

The velocity of the fire extinguisher when emptied is 3 m/s.

The given parameters;

  • mass of the boy, m₁ = 26 kg
  • mass of the chair, m₂ = 16 kg
  • mass of the fire extinguisher, m = 18 kg
  • mass of the carbon dioxide = 9 kg
  • speed of the carbon dioxide v = 20 m/s.

The velocity of the fire extinguisher when emptied is calculated  by applying the principle of conservation of linear momentum as follows;

[tex]M_1 v_1 = M_2 v_2\\\\v_1 = \frac{M_2v_2}{M_1} \\\\v_1 = \frac{9 \times 20}{(26 + 16 + 18)} \\\\v_1 = 3 \ m/s[/tex]

Thus, the velocity of the fire extinguisher when emptied is 3 m/s.

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