How many logs 3.00 m long and 18.0 cm in diameter are needed to just barely float a 2500.0 kg car? (ρwood = 0.720 g/cm³) A)118 B)117 C)30 D)29

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Quizplus · Accepted Answer

To find the number of logs needed, calculate the buoyant force required to float the car, which equals the weight of the car (2500 kg * 9.8 m/s²). Then, calculate the buoyant force provided by one log using its volume and the density of water (1000 kg/m³). The volume of one log is π*(0.09 m)²*3.00 m. Convert the density of wood to kg/m³ (720 kg/m³). The log will float if its density is less than water, so the buoyant force is the weight of the displaced water. Divide the total buoyant force needed by the buoyant force of one log to find the number of logs.

How Many Logs 3