Question

A sailboat sank to the bottom of a lake. The majority of the boat's mass is from the 0.25m^3 of lead in its keel. The density of lead is approximately 11,000 kg/m^3. The density of water is approximately 1000 kg/m^3. Because gravity is pretty much the same everywhere on earth, the weight of the sailboat can be assumed to be approximately equal to its mass.

In kilograms, what total weight of water needs to be displaced in order to lift the sailboat to the surface?

Answer 1

To lift the sailboat to the surface, we need to displace water equal to the weight of the sailboat. The weight of the sailboat can be calculated using its mass and the acceleration due to gravity.

Step-by-step explanation:

In order to lift the sailboat to the surface, we need to displace water equal to the weight of the sailboat. The weight of the sailboat can be calculated by multiplying its mass by the acceleration due to gravity. Given that the boat's mass is primarily from the lead in its keel, which has a density of 11,000 kg/m^3, and its volume is 0.25 m^3, we can find the mass of the lead by multiplying its density by its volume. The weight of the sailboat, and therefore the weight of water that needs to be displaced, can be found by multiplying the mass of the sailboat by the acceleration due to gravity.