suppose we have 10 liters of water in a 20 liter bucket and we submerge a one liter soda bottle with water. The buoyant force on a submerged one liter bottle is equal to?
mass of one liter of water = 1 kg
Archimedes says:
F = m g = 1 kg * 9.81 m/s^2 = 9.81 Newtons
To determine the buoyant force on a submerged object, we need to consider the weight of the water displaced by the object.
Here's how we can calculate it in this scenario:
1. Determine the weight of the water displaced by the submerged bottle: Since 1 liter of water has a mass of 1 kilogram, we can assume that it also displaces 1 kilogram (or 1 liter) of water. The weight of the displaced water is equal to its mass multiplied by the acceleration due to gravity (which is approximately 9.8 meters per second squared). So, the weight of the displaced water is 1 kg × 9.8 m/s² = 9.8 Newtons.
2. Recognize that the buoyant force experienced by the submerged bottle is equal to the weight of the water displaced. Therefore, the buoyant force on the submerged one-liter bottle is 9.8 Newtons.
It's important to note that the size of the container (20-liter bucket), the remaining water (10 liters), or any other objects present in the bucket do not affect the buoyant force on the submerged bottle, as long as it fully displaces 1 liter of water.
If you have any further questions or need additional clarification, feel free to ask!