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:
🚣♂️ Let’s Solve the Problem! 🤔
Step 1: Calculate the volume of water displaced when the boat sinks by 1 cm
Volume of water displaced = Length × Breadth × Depth
= 3 m × 2 m × 0.01 m (1 cm = 0.01 m)
= 0.06 cubic meters
Step 2: Calculate the mass of water displaced
Density of water = 1000 kg/cubic meter
Mass of water displaced = Density × Volume
= 1000 kg/cubic meter × 0.06 cubic meters
= 60 kg
Step 3: According to Archimedes’ Principle, the mass of the man is equal to the mass of water displaced
Mass of the man = Mass of water displaced
= 60 kg
The final answer is: The mass of the man is 60 kg. 👍