The volume of the boat is 1 m3, its weight is 80 kg. How many people can be transported in this boat
| August 6, 2021 | education
The volume of the boat is 1 m3, its weight is 80 kg. How many people can be transported in this boat, provided that the mass of each person is 70 kg, and the permissible immersion of the boat in water is 80% of its volume?
80% of the volume of 1 m3 is 0.8 m3, the mass of water in this volume is 0.8 t = 800 kg.
According to Archimedes’ law, the load mass in this boat should not exceed 800 kg.
80 kg of these 800 kg goes to the mass of the boat. This means the maximum carrying capacity of the boat
800 – 80 = 720 kg.
Since the mass of each person is 70 kg, the mass of 10 people will be 700 kg. If you put another one in the boat, the maximum carrying capacity of 720 kg will be exceeded.
Answer: 10 people.
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