Question

At summer camp, your scout platoon makes a boat using 15 large tree branches. Each branch has a diameter of 40 cm and is 6.4 m long. How many scouts can pile onto the boat before water starts submerging it? Assuming each scout weighs 69 kg . You can not assume the branches have neglible mass. HINT: The specific gravity of wood is 0.60.

Answer 1

Diameten = 40cm = 0.4m radius (r) 2 0.2 m length (h) = 6.4m volume of each branc = R8²h = (3.14) (0.232 (6-4) m3 = 80.38x102 m3 vol. q 15 branch = 15 x 80.38 x 182 m3 = 12.06m3 also, Swood 20.6 Swoter =) Swood = 0.6 Swater. Let N şcouts coin pile on. then, Nong = V(Swater - Swood) g Nong - V11-0.6) Iwater og = 0.4V Swater & 8 Swater = 997 kg / m3 Nm = 0.4 V swater N-0.4x 12.06X997 69 = 69.7 ~ 69

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