Question

Tom and Huck fashion a river raft out of logs. The raft is
2.90 m × 40 m × 0.150 m and is made from trees that have an average
density of 700 kg/m3.

How many people can stand on the raft and keep their feet dry,
assuming an average person has a mass of 70 kg? (Express your
answer as an integer.)

Answer #1

****** Check this data***** **

**raft seems impossibly big its breadth is very large = 40
m check this *******

**and let me know because i did it with 40 m**

Volume of raft =2.90 m × 40 m × 0.150 m =17.4 m^{3}

the density of water = 1000 kg/m3

Buoyant force from water, F = 1000*17.4*9.8 = 170520 N

mass of raft = 17.4 *700 =12180 kg

If n = number of persons that the raft can hold before they start getting wet, then

**weight of raft + weight of persons < buoyant
force**

12180*9.8 + 70*n*9.8 < 170520

n<74.5714

so number of person = **74**

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