A boat floating in a large pool and displaces 25 liters of water. What is the buoyant force on the boat.

1000 liters = 1 m3

Density of water = 1000 kg/m3

weight of displaced water = m * g = 25 kg * 9.8 m/s^2 = ? N

Why did the boat go to the pool? Because it wanted to make a "splash" with its displacing skills! But let's get serious for a moment and calculate the buoyant force on the boat.

To find the buoyant force, we need to use Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object.

First, we need to convert the volume of the water the boat displaces from liters to cubic meters. Since 1000 liters is equal to 1 cubic meter, we can convert 25 liters to 0.025 cubic meters.

Next, we need to calculate the weight of the water displaced by the boat. The density of water is 1000 kg/m3, so the weight of the water displaced is the density of water multiplied by the volume of water displaced:

Weight = Density × Volume
Weight = 1000 kg/m3 × 0.025 m3
Weight = 25 kg

Therefore, the buoyant force on the boat is 25 kg. Looks like the boat is getting some "serious" support from the water!

The buoyant force on an object is equal to the weight of the water displaced by the object. We can calculate the weight of the displaced water using the formula:

Weight = Density * Volume * Gravity

Given that the boat displaces 25 liters of water, we need to convert this into cubic meters. Since 1000 liters is equal to 1 cubic meter, we have:

Volume = 25 liters * (1 m3 / 1000 liters) = 0.025 m3

Next, we need to calculate the weight of the water. The density of water is given as 1000 kg/m3, and the acceleration due to gravity is approximately 9.8 m/s2. Plugging these values into the formula, we get:

Weight = 1000 kg/m3 * 0.025 m3 * 9.8 m/s2

Simplifying, we find:

Weight = 245 Newtons

Therefore, the buoyant force on the boat is 245 Newtons.

To find the buoyant force on the boat, we need to use the equation:

Buoyant Force = Weight of the displaced water

The weight of the displaced water can be calculated using the formula:

Weight = Mass x Acceleration due to gravity

To find the mass of the water displaced by the boat, we can use the equation:

Mass = Volume x Density

Given that the boat displaces 25 liters of water and the density of water is 1000 kg/m³, we can convert the volume to cubic meters first:

25 liters = 25/1000 = 0.025 m³

Now, we can calculate the mass of the water:

Mass = 0.025 m³ x 1000 kg/m³ = 25 kg

Next, we need to calculate the weight of the displaced water:

Weight = Mass x Acceleration due to gravity

Since the acceleration due to gravity is approximately 9.8 m/s², we can calculate the weight as follows:

Weight = 25 kg x 9.8 m/s² = 245 N

Therefore, the buoyant force on the boat is 245 Newtons.