Answer:
2
Explanation:
length of the raft, L = 2 m
Width of the raft, W = 2.5 m
height of the raft, H = 9.8 cm = 0.098 m
mass of each person, m = 75 kg
Density of wood = 650 kg/m^3
volume of raft, V = L x W x H = 2 x 2.5 x 0.098 = 0.49 m^3
let there are N persons
According to the principle of floatation
Buoyant force acting on the raft = True weight of the raft
Volume x density of water x g = volume x density of wood x g + N x mg
0.49 x 1000 x g = 0.49 x 650 x g + N x 75 x g
490 = 318.5 + N x 75
N = 2.28
So, the maximum number of person is 2.
