Question

How much force is required to hold an empty carton of volume 1.5 L beneath the surface in a sink of water? Assume the carton is empty, so its own weight is negligibly small.

Answer 1

Answer:

It will require 14.715 N of force to hold the cartoon beneath the water.

Explanation:

Given the the volume of cartoon is 1.5 liters.

We need to find the force required to hold this cartoon beneath the water.

As we know from the Archimedes principle that the net force is equal to the volume of liquid displaced.

Given volume of the cartoon is 1.5 liters. So, 1.5 liters of water will be displaced.

And we know the density of the water is $1000\ kg/m^3$. That is $1\ kg/L$

And $g=9.81\ m/s^2$

$F_N=\rho Vg\\F_N=1\times 1.5\times 9.81\\F_N=14.715\ N$

So, it will require 14.715 N of force to hold 1.5 liter volume of cartoon beneath the water.