Question

A ferry boat shaped just like a brick is 4.3 m wide and 8.5 m long. When a truck pulls onto it, the boat sinks 6.15 cm in the water. What is the weight of the truck? The acceleration of gravity is 9.81 m/s 2 . Answer in units of N.

Answer 1

Answer:

The weight of the truck is 22072.5 N.

Explanation:

Given that,

Width of the brick =4.3 m

Length of the brick = 8.5 m

Distance = 6.15 cm

We need to calculate the volume of the water displaced by the boat with truck

Using formula of volume

$V=l\times w\times d$

Put the value into the formula

$V=8.5\times4.3\times6.15\times10^{-2}$

$V=2.25\ m^3$

We need to calculate the mass of the water displaced by the boat with truck

Using formula of density

$\rho=\dfrac{m}{V}$

$m=\rho\times V$

Put the value into the formula

$m=1000\times2.25$

$m=2250\ kg$

We need to calculate the weight of the truck

Using formula of weight

$W= mg$

Put the value into the formula

$W=2250\times9.81$

$W=22072.5\ N$

Hence, The weight of the truck is 22072.5 N.