Question

The volume of 50g of a substance is $20 cm3$ If the density of water is$1g cm−3$, will the substance float or sink in water?

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Answer 1

$\huge\sf\red{Given:-}$

• mass of substance= 50g
• volume = $20 cm^3$

$\huge\sf\green{To\:Find:-}$

• density

$\huge\sf\blue{Solution:-}$

✐density of substance,

= $mass÷volume$

=$50g/20cm^3$

=$2.5g cm^-3$

✑Hence the density of the substance is greater than the density of water. Hence the weight acting downwards is greater than the buoyant force acting upwards g.

Hence the substance will sink in water✓✓

Answer 2

★ Given -:

mass of the substance = 50 g

Volume = 20 cm³

density of water = 1gcm³

★ To find -:

substance will float or sink

★ Solution -:

We know that ,

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

Density of substance =

$\dfrac{50}{20}$

$= 2.5 g/cm^3$

Density of substance is greater than water's (2.5 > 1) , so the substance will sink..

★ Additional Information -:

Archimedes principle -: Archimedes' principle states: An object immersed in a fluid experiences a buoyant force that is equal in magnitude to the force of gravity on the displaced fluid.

Formula for Archimedes principle -:

$\purple{P = \rho g h }$

where, P = pressure

rho = density of fluid

g = acceleration due to gravity

h = displaced height .