Chapter 10, Problem 34P

To determine

To Find: The minimum amount of mass of the lead is which is hung from the wood by a string due to which it will sink.

Explanation of Solution

Given information:

Mass of the wood, $m=5.25\mathrm{k}\mathrm{g}$

  $SG=0.50$

Formula used:

When an object is submerged into the fluid, then a force is provided by the fluid to the object, this force is known as buoyant force.

This force is written as,

  $F_B={\rho }_{F}Vg$

Where, ${\rho }_F$ is the fluid density, $F_B$ is the buoyancy force, $V$ is the volume of the fluid and $g$ is the acceleration due to gravity.

When the buoyant force is equal to the weight force then

  $F_B=F_{weight}$

Calculations:

The total weight of the wood and lead need to be equal to the total buoyant force on the wood and lead

Conclusion:

The mass of the lead is $5.76\mathrm{kg}$ which is hung from the wood by a string due to which it will sink.