# The raft consists of 12 pine logs, each of which has a volume of 0.8 m. Is it possible

The raft consists of 12 pine logs, each of which has a volume of 0.8 m. Is it possible to transport a car weighing 1.5 tons to the other side on this raft?

Data: n – number of pine logs (n = 12 pcs.); Vb – the volume of each log (Vb = 0.8 m3); ma is the mass of the transported vehicle (ma = 1.5 t; in the SI system ma = 1500 kg).

Const: ρw is the density of the water in which the raft under consideration is located (approx. Ρw = 1000 kg / m3); ρss is the density of dry pine (approx. ρss = 500 kg / m3).

To find out the possibility of crossing the specified car to the other side, consider the inequality:

FA> Fт;

ρw * g * Vp> (ma + mp) * g;

ρw * n * Vb> ma + ρss * n * Vb;

ρw * n * Vb – ρss * n * Vb> ma;

n * Vb * (ρv – ρcc)> ma;

Calculation: 12 * 0.8 * (1000 – 500)> 1500;

12 * 0.8 * (1000 – 500)> 1500.

4800> 1500 (correct).

Answer: It is possible to transport the car.

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