Question

A boat having a length 5 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is

Answer 1

Mass = Density × Volume
M = 10³kg/m³ × (5 × 2 × 0.01)m³
M = 100kg

Mass of the man is 100kg

Answer 2

$\huge\underline\mathrm\red{GivEn:-}$

⭐ Length of boat = 5 m

⭐ Breadth of boat = 2 m

⭐ Water displaced by the boat when a man gets on it = 1 cm

$\huge\underline\mathrm\red{To\: Find:-}$

↪ What is the mass of the man = ?

$\huge\underline\mathrm\red{SoLutioN:-}$

Volume of water displaced by boat,

Volume = Length x breadth x water displaced by boat .

According to question :-

$\implies$ V = 5 x 2 x $\large{\sf {\frac{1}{100}}}$

$\implies$ V = $\large{\sf {\frac{1}{10}}}$ cm³

The mass of water displaced by boat is equal to the mass of the man

Mass of water displaced :-

$\implies$ M = $\large{\sf {\frac{1}{10}}}$ x 1000

$\large{\boxed{\bf{\green{Mass = 100 kg}}}}$

$\huge\underline\mathrm\red{ThAnKs....}$