# Therefore, a = 3 and b = 5.Hydrostatic Force Homework: Find a & b

• icystrike
In summary, an object with a volume of 30m3 and a density of 3g/cm3 floats in a liquid with only half its mass below the surface. When placed in a different liquid with the same volume but a density of 1g/cm3, the final upthrust on the object is expressed as 3 × 105 N.
icystrike

## Homework Statement

An object made entirely from one material has a volume of 30m3. It floats in a liquid of density of 3g/cm3 with only half its mass below the liquid's surface. The object is then placed in another liquid of same volume but with a density of 1g/cm3 If the final upthrust that will act on the object is expressed in the form of $$a × 10^{b} N$$ give the value of a and b. [Assume g = 10m/s2]

The answer stated is 3 × 103

Thanks :)

## The Attempt at a Solution

Hyrdostatic force is : ρVg = 3 g/cm3 × 1000 cm3/m3 kg/g × 15m3 × 10 N/kg = 450'000 N

Since hydrostatic force = gravitational force,

The mass of the object will be : m = 45000N × 0.1 kg/N = 4500kg
The density of the object will be: ρobject = 4500kg/30m3 = 1500 kg/m3

Since it is denser than the second liquid, the hydrostatic force experienced in the second liquid will be as follow:

F= ρVg = 1 g/cm3 × 1000 cm3/m3 kg/g × 30m3 × 10 N/kg = 300'000N = 3 × 105 N

Last edited:

icystrike

## 1. What is hydrostatic force?

Hydrostatic force is the force exerted by a fluid at rest on an object due to the pressure of the fluid.

## 2. How is hydrostatic force calculated?

Hydrostatic force is calculated by multiplying the density of the fluid, the acceleration due to gravity, and the height of the fluid above the object.

## 3. What is the significance of finding a and b in this homework?

In this homework, a and b represent the dimensions of the object in question. By finding these values, we can determine the hydrostatic force acting on the object.

## 4. How do you find the value of a and b in this homework?

To find the values of a and b, we must use the given information about the object, such as its mass and dimensions, and apply relevant equations to solve for these variables.

## 5. What are some real-life applications of hydrostatic force?

Hydrostatic force has many practical applications, including determining the buoyant force on ships and submarines, calculating the stability of structures such as dams and bridges, and measuring the pressure in the human body for medical purposes.

• Introductory Physics Homework Help
Replies
11
Views
1K
• Introductory Physics Homework Help
Replies
16
Views
2K
• Introductory Physics Homework Help
Replies
1
Views
1K
• Introductory Physics Homework Help
Replies
14
Views
2K
• Introductory Physics Homework Help
Replies
5
Views
9K
• Introductory Physics Homework Help
Replies
13
Views
2K
• Introductory Physics Homework Help
Replies
7
Views
3K
• Introductory Physics Homework Help
Replies
19
Views
3K
• Introductory Physics Homework Help
Replies
1
Views
1K
• Introductory Physics Homework Help
Replies
2
Views
2K