Question

an object will sink in a liquid if the density of the object is greater than that of the liquid. the mass of a sphere is 61.3g. if the volume of this sphere is less than

Answer 1

Question:

An object will sink in a liquid if the density of the object is greater than that of the liquid. The mass of a sphere is 61.3g.

If the volume of this sphere is less than ________ cm3, then the sphere will sink in liquid mercury (density = 13.6 g/cm3).

Answer:

$Volume= 4.51cm^3$

Explanation:

Given

Liquid: Mercury

$Density = 13.6\frac{g}{cm^3}$ -- of liquid

$Mass = 61.3g$

Required

Determine the volume at which the liquid will sink

First, we need to calculate the volume of the sphere for which it will have the same density as the mercury.

This is calculated as follows

$Density = \frac{Mass}{Volume}$

Make Volume the subject

$Volume= \frac{Mass}{Density }$

Substitute values for Mass and Density

$Volume= \frac{61.3}{13.6}$

$Volume= 4.51cm^3$

This implies that:

If the volume of the sphere is less than 4.51, the density will be greater than the density of the mercury and so the object will sink

Take for instance:

$Volume = 4cm^3$

$Density = 61.3/4 = 15.325g/cm^3$

So, fill in the gap with $4.51cm^3$