Question

Problemi I At summer camp, your scout platoon makes a boat using 10 large tree branches. Each branch has a diameter of 41 cm and is 6.2 m long.(Figure 1)

Answer 1

Density of wood - 1000x specific gravity -=_600kg/me_ • Total Volume of Branches _used - 10x (Tx 41x 46 x 6.2 [10x 7826] = 32.726 ma boa boat. When The this water just starts submerging o the the Net volume of water displaced by boat : Net volume of boat (branches) 32.726 ma. Archimedes Principlerwe know i Up ward force on boat = Weight of water displaced (forced _ selal dooODOODPARPPPPPPPP By__ Net ma e val. x density) x 9.8_ _32.726 x_1000 x 9.8_ 3.21 x105N _ N (density = 1000 kg/m3 Net downwandforce due to weight to beat + scouts. Let there be 'n no. of scouts Net down ward force. = (mass of Boat + mass of in' scouts) x q [Chol. x density of wood) + (n x 68)] x 9.8 = [(32 726 X_600) +_(n x 68 x 9.8

Net down ward_force => [(32. 726 x 600) + on boat - Net 68n7x9.8 upward yorce 3.21 xlos on boat => 1.92 x 105 + 666. 4n = 3.21x105 => 666.4 n --> n = = 1. 29 x los 1.29x105 666. 4 = 193.577 should But n be an integer I n= 193 scouts
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