A motor boat having a length of 10 m and breadth 5 cm is floating on a lake. The boat sinks by 5 cm when load gets on it. What is the mass of load?

Question

A motor boat having a length of 10 m and breadth 5 cm is floating on a lake. The boat sinks by 5 cm when load gets on it. What is the mass of load? (A) 3000 g (B) 2500 Kg (C) 4010 Kg (D) None

Tardigrade Admin · Accepted Answer

According to archimede's principle weight of load = weight of water displaced by boat m × 9.8=(10 × 5 × 0.05) × 9.8 × 103 m =50 × 5 × 10-2 × 103=2500 kg

Q. A motor boat having a length of $10 m$ and breadth $5 c m$ is floating on a lake. The boat sinks by $5 c m$ when load gets on it. What is the mass of load?

$3000 g$

$2500 K g$

$4010 K g$

None

According to archimede's principle
weight of load = weight of water displaced by boat
$m \times 9.8 = (10 \times 5 \times 0.05) \times 9.8 \times 1 0^{3}$
$m = 50 \times 5 \times 1 0^{- 2} \times 1 0^{3} = 2500 k g$

Q. A motor boat having a length of 10m and breadth 5cm is floating on a lake. The boat sinks by 5cm when load gets on it. What is the mass of load?

3000g

2500Kg

4010Kg