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37 votes
37 votes
A raft has a mass of 152 kg. When a

person stands on it, the raft displaces
0.224 m3 of water. What is the mass
of the person?
[?] kg

User Cmdkennedy
by
3.1k points

1 Answer

19 votes
19 votes

Answer:

72 kg

Step-by-step explanation:

The computation of the mass of the person is shown below:

As we know that

Water displaced weight = Raft weight + person weight

P_w.V = M_r + M_p

where

P_w denotes the water density i.e. 1000 kg/m^3

V denotes the volume of the water in m^3

Now

1000 × 0.224 = 152 + M_p

M_p = 224 - 152

= 72 kg

User Maxime Beauchamp
by
3.7k points