The dinghy weighing 400 kg has a displacement of 3.5 m³. How many passengers can a boat take
| April 2, 2021 | education
The dinghy weighing 400 kg has a displacement of 3.5 m³. How many passengers can a boat take if the weight of each is 70 kg?
Task data: m1 (boat mass) = 400 kg; V (displacement (volume) of the boat) = 3.5 m3; m2 (mass of one passenger of the boat) = 70 kg.
Reference values: ρw (fresh water density) = 1000 kg / m3.
The number of accepted passengers on the sloop can be determined from the equality: Fa = Fт; ρw * g * V = m * g = (m1 + n * m2) * g, whence n * m2 = ρw * V – m1 and n = (ρw * V – m1) / m2.
Calculation: n = (1000 * 3.5 – 400) / 70 = 44.29 (44) passenger.
Answer: The boat can take no more than 44 passengers.
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