A boat having a length 4m and breadth 2.5 m is floating on lake. The boat sinks by 2 cm when a load is loaded on it. What is the weight of the load ? Use `g =10 ms^(-2),` density of water ` = 10^3 kg m^(-3)`

Answer

200 kg f

Explanation

Area of the boat `A = 4xx 2.5 = 10m^2.` when load is placed on the boat. Depression of the boat = 2 cm = 0.02m. Volume of the water displaced by the load in boat ` = 10xx 0.02 m^3 = 0.20 m^3` Ac cording to principle of flotation weight of load = weight of water displaced ` = 0.20 xx 10^3 xx 10 N`
` =(0.02xx10^3xx10)/(10)kg" " f = 200 kg f`