A body of mass 2kg floats in a liquid. What is the buoyant force on th...
Buoyant Force on a Floating Body
When a body is immersed in a liquid, it experiences an upward force called the buoyant force. This force is equal to the weight of the liquid displaced by the body. The buoyant force acts in the opposite direction to the weight of the body and keeps it afloat.
Calculation of Buoyant Force
The buoyant force can be calculated using the formula:
Buoyant force = weight of liquid displaced
For a floating body, the weight of the liquid displaced is equal to the weight of the body. Therefore, the buoyant force on the body is equal to its weight.
Buoyant force = weight of the body
Example Calculation
Given that the mass of the body is 2kg, we can calculate its weight using the formula:
Weight = mass x gravitational acceleration
Here, gravitational acceleration is approximately 9.8m/s².
Therefore, weight of the body = 2kg x 9.8m/s² = 19.6N
Since the body is floating, the buoyant force on it is equal to its weight. Therefore, the buoyant force on the body is 19.6N.
Conclusion
When a body is immersed in a liquid, it experiences an upward force called the buoyant force. This force is equal to the weight of the liquid displaced by the body. For a floating body, the buoyant force is equal to its weight. Therefore, in this example, the buoyant force on a body of mass 2kg floating in a liquid is 19.6N.