Respuesta :
Answer: A. exactly the same
Explanation:
When the canon was inside the boat , the whole system was floating in the lake so the volume of water displaced by boat was greater to balance the heavy combination .
The canon was later thrown inside the lake . But it was still floating because it was tied with the boat by a chain . So boat dipped to the same level to displace the same amount of water so that the whole system still keeps floating .
Hence there will be no change in the level of water in the lake ,because same amount of water is being displaced in the second case.
The water level on the sides of the lake when the cannon is hanging from the boat is exactly the same when the cannon was inside the boat.
What is the density of a substance?
Density is the quantity of the mass a substance has per unit of volume. The density of a substance is the ratio of mass to the volume.
[tex]\rho=\dfrac{m}{V}\\\rho V=m[/tex]
Here, (m) is the mass of the substance and (v) is the volume of the substance.
The mass and volume is directly proportional to each other. It means when the mass of object is higher, then the volume displaced by it will also be higher.
Here, a cannon is sitting in a boat which is floating in a small pond. The boat at this position is dipped at some level inside the water due to the weight of the boat and cannon.
The one end of a chain is attached to the boat and the other end of the chain to the cannon, and throw the cannon out of the boat.
Lets check volume change for this case-
- Total weight or the mass of the boat is now reduced.
- The volume of the water displace by the boat will be reduced.
- This change will be equal to the volume displaced by the canon when in through into the lack.
The cannon hangs from the boat without touching the bottom of the pond. Thus, for this case the volume change will be equal.
Hence, the water level on the sides of the lake when the cannon is hanging from the boat is exactly the same when the cannon was inside the boat.
Learn more about the density here;
https://brainly.com/question/1354972
