Chapter 13.3, Problem 37SSC

(a)

To determine

The block that displaces more water, $1.0-kg$ aluminum block or $1.0-kg$ block of lead.

Answer to Problem 37SSC

Aluminum and lead box both sink in the pool but aluminum block will displace more water. So, aluminum block will displace more water.

Explanation of Solution

Introduction:According to Archimedes Principle, Buoyant force on the submerged object in a fluid is equal to the weight of displaced fluid by the same object.

The density of the block of lead is greater than aluminum. Therefore, the volume of the aluminum is greater and also displaces more water. So, aluminum and lead both sink to the bottom of the pool due to their heavy weight.

Conclusion: Both the blocks will sink, but aluminum block will displace more water.

(b)

To determine

Block that displaces more water, $10-c{m}^3$ aluminum block or a $10-c{m}^3$ block of lead.

Answer to Problem 37SSC

  $10-c{m}^3$ blocks of each lead and aluminum will displace the same amount of water.

Explanation of Solution

Introduction:According to Archimedes Principle, the buoyant force experienced by an object sink in a fluid is equal to the weight displaced by that object of the fluid

$10-c{m}^3$ block of lead and $10-c{m}^3$ block of aluminum both will sink and displace the equal volume of water.

Conclusion:

Both the blocks will sink and the equal volume of water will be displaced by them.