Question
The dimensions of the base of a boat are 3.3mx2.2m. When the man gets on to the boat, the boat sinks by 1 cm. What is the mass of the man?
Solution
The dimensions of the base of a boat are 3.3 m 2.2 m
The boat sinks by 1 cm, therefore volume of water displaced when man gets on the boat is,
V = 3.3 x 2.2 x 0.01
= 72.6 x 10-3 m3
Mass of water displaced = 72.6 x 10-3 x 1000 = 72.6 kg
The man is in a floating state int he boat.
The boat sinks by 1 cm, therefore volume of water displaced when man gets on the boat is,
V = 3.3 x 2.2 x 0.01
= 72.6 x 10-3 m3
Mass of water displaced = 72.6 x 10-3 x 1000 = 72.6 kg
The man is in a floating state int he boat.
Therefore,
Mass of man = Mass of water displaced
= 72.6 kg.
Mass of man = Mass of water displaced
= 72.6 kg.
