Question

A ferry boat is 4.0 m wide and 6.0 m long. when a truck pulls onto it, the boat sinks 4.00 cm in the water. what is the weight of the truck?

Answer 1

Answer : Weight of the truck = 9408 N

Explanation :

Given that,

Length  = 6.0 m

Width = 4.0 m

Depth = 4.00 cm

we know that,

weight of the truck = weight of the displaced water

weight of the truck =  $m_{water}\times g$

we know that,

density $\rho = \dfrac{mass}{volume}$

mass = density X volume

weight of the truck = $\rho_{w}\times V_{w}\times g$

Now, the volume = length X width X depth

$V = 6.0\ m\times 4.0\ m \times 0.04\ m$

$V = 0.96\ m^{3}$

Weight of the truck $= 1000\ kg/m^{3}\times 0.96\ m^{3}\times 9.8\ m/s^{2}$

Weight of the truck = $= 9408\ kg- m/s^{2}$

Weight of the truck = 9408 N

Hence, this is the required solution.