A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

A. 12 kg
B. 60 kg
C. 72 kg
D. 96 kg

• ANSWER : 60kg
  
  SOLUTION :
  
  Volume of water displaced = 300cm*400cm*1cm = 60000cm^3
  We know that density of water is 1gm/cm
  Again Mass = Density*Volume = 60000*1 gm
  Mass of displaced liquid = 60000gm = 60 kg
  Using Archimedes Principal we know weight of displaced liquid = weight of floating body.
• 12 years agoHelpfull: Yes(14) No(2)
• Volume of water displaced =(3 x 2 x 0.01) m3
  = 0.06 m3.
  Mass of man= Volume of water displaced x Density of water
  = (0.06 x 1000) kg
  = 60 kg.
• 11 years agoHelpfull: Yes(5) No(2)