Question

In: Physics

What is the smallest number of whole logs (density = 735 kg/m³, radius = 0.077 m,...

What is the smallest number of whole logs (density = 735 kg/m³, radius = 0.077 m, length = 2.91 m) that can be used to build a raft that will carry 3 people, each of whom has a mass of 76.0 kg?

Solutions

Expert Solution

Smallest no of logs to support 3 people

So it is okay that raft can be fully submerged and all 3 people will be just above the water line

(it is not given that raft is partially submerged)

The buoyant force experienced by raft should support weight of all logs and weight of 3 people

Let the no of logs be X

------------------

Density =mass/volume

so mass of 1 log =Density *volume =

mass of 1 log =

mass of X logs =

mass of 3 people = 3*76 =228kg

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Cancel g

ANSWER: 16 Logs

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