# A simple model (Fig. 10-56) considers a continent as a

## Problem 72GP Chapter 10

Physics: Principles with Applications | 6th Edition

• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Physics: Principles with Applications | 6th Edition

4 5 0 392 Reviews
11
1
Problem 72GP

A simple model (Fig. 10-56) considers a continent as a block (density = 2SOOkg/m3) floating in the mantle rock around it (density ~ 3300 kg/m'). Assuming the continent is 35 km thick (the average thickness of the Earth's continental crust), estimate the height of the continent above the surrounding mantle rock.

Step-by-Step Solution:

Solution 72GP:

Continent is able to float on the mantle rock because its weight is balanced by the buoyancy force. As the continent is floating on the mantle rock, we have to determine the height of the continent above the mantle rock layer.

Step 1 of 5</p>

Concept:

Density of the body is defined as the ratio of the mass of the body to its volume. Mathematically,

…(1)

…(2)

Archimedes Principle: Buoyancy force acting on an object whose volume is immersed inside the liquid of density is given as,

…(3)

Flotation Law: When the first body floats on the surface of the second body, the buoyancy force by second body balance the weight of the first body.

…(4)

Step 2 of 5</p>

Figure below shows the free body diagram of the continent, floating on the mantle layer.

Thickness of the continent

Density of the continent

Density of mantle rock

Let be the bottom area of the continent. Assuming the continent to be rectangular parallelepiped in shape..

Let be the height of the continent above the surrounding mantle rock.

From the above figure, the height of the displaced mantle rock is .

Step 3 of 5</p>

In accordance to the Archimedes Principle, from equation (3), the buoyancy force acting on the continent is,

…(5)

Weight of the continent                …[From (2)]

…(6)

Step 4 of 5

Step 5 of 5

#### Related chapters

×
Log in to StudySoup
Get Full Access to Physics: Principles With Applications - 6th Edition - Chapter 10 - Problem 72gp

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Physics: Principles With Applications - 6th Edition - Chapter 10 - Problem 72gp
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Already have an Account? Is already in use
Incorrect Password The password used to log in with this account is incorrect

Forgot password? Reset it here