If an iron object is immersed in liquid it displays 8kg of liquid.How much is the bouyant force acting on the object (given g=10 m/sec²

To find the buoyant force acting on the iron object, we can use **Archimedes' principle**. The principle states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.

### Given:
- Displaced liquid weight = 8 kg
- Acceleration due to gravity \( g = 10 \, \text{m/s}^2 \)

### Solution:
The buoyant force \( F_b \) is given by:

\[
F_b = \text{Weight of the displaced liquid}
\]

Since weight is mass times gravity:

\[
F_b = m \times g
\]

Substituting the values:

\[
F_b = 8 \, \text{kg} \times 10 \, \text{m/s}^2
\]

\[
F_b = 80 \, \text{N}
\]

### Answer:
The buoyant force acting on the iron object is **80 Newtons (N)**.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What is Archimedes' principle, and how is it derived?
2. How would the buoyant force change if the object were in a different liquid?
3. How do you calculate the density of the displaced liquid from this information?
4. What happens if the density of the iron object is less than the liquid?
5. How does buoyancy affect objects in a vacuum?

**Tip:** When dealing with buoyant forces, always ensure the liquid's density and the object's volume are considered if the weight of the displaced liquid isn't directly given.

Learn how to calculate the buoyant force acting on an iron object immersed in liquid. Understand Archimedes' principle and use the formula F_b = m \times g. Given data includes the weight of the displaced liquid and acceleration due to gravity (g = 10 m/s^2). Suitable for high school students.

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