Question

A 32-kg boy sits initially still on a wheeled 17-kg office chair, holding a fire extinguisher (9 kg when empty). He points the discharge horn to the right and ejects 6 kg of carbon dioxide at 18 m/s. What is his velocity after the fire extinguisher is emptied (assuming friction is negligible)? Answer in units of m/s and round to one decimal place. Note that velocity is a vector and the sign matters. Hints: This is a recoil problem for which the conservation of momentum applies. The initial momentum of the system is zero. After the ejection, the discharged carbon dioxide pushes the boy, the chair and the empty extinguisher as a whole to the left

Answer 1

Mars of boy m₂ = 32 kq massa chair me z 17 la mass og fire extinguishey mp=9 kg mass of carbon dioxide m = 6 kg - Initially all are at rest or initial momentum = 0 when carbon dioxide ejected from fire extinguisher bay_moves towards left - According to Law of conservation q wumentum Initial momentum - final momentum - 0 = (my+ Me + mp) V + mu where vs speed of carbon dioxide V = velocity of person + chair + empty fire extinguisher) te (met met my) v = - my V : - m (ma t'meam ik V = - 6 (32+ 17+9) 18 .. | V = -1.86 mois V=-1.86 T negative sign indicates direction of relocity of boy chair & fire extinguisher is opposite to I carbon- di Doxide a