Question

A man is sitting in a boat which is floating in a pond. If the man drinks some water from the pond, how will the level of water in the pond change?

Answer 1

Hint:The value of thrust force is given by the Archimedes law such that when an object is partially or completely immersed in a liquid, the apparent loss of weight is equal to the weight of the liquid displaced on it.

Complete step by step answer:No, the water level in the pond will remain unchanged because when a man takes some water from the pond, the water level will be reduced at first, but after drinking the water his weight will also increase by mg (where m is the mass of water) g is gravity. ) Therefore the boat will dissolve more in the water which will further increase the level of water in the pond. And the weight of the water displaced by the boat will be equal to the weight of that man's drinking water. Therefore, the fall in water level will be offset by the increase in water level, resulting in unchanged waterfall..
Hence, the two parts cancel each other's effect, finally resulting in no change.

Additional Information:When we go swimming, we feel a little weightless in the water. The reason for this is that liquids exert an upward force for objects immersed in them. This is known as thrust and is the result of a difference in pressure in a liquid exhaust at different heights. As we observe an object sinking (completely submerged) deep into a liquid, the pressure exerted by the liquid increases, but the thrust force remains the same.
According to Archimedes Principle
"The upward force that is exerted on a body submerged in a fluid, whether partially or completely submerged, is equal to the weight of the fluid which the body displaces in an upward direction at the center of mass of the displaced fluid and works" .
In simple terms, Archimedes' law states that the force produced on an object is equal to the load of the fluid displaced by the object. Mathematically written as:
$\eqalign{
  & {{\text{F}}_b} = \rho \times g \times V \cr
  & {{\text{F}}_{\text{b}}}{\text{is the buoyant force}} \cr
  & \rho {\text{ is the density the fluid}} \cr
  & {\text{V is the submerged volume}} \cr
  & {\text{g is the acceleration due to gravity}} \cr} $

Notes:The thrust force is also called the buoyant force because it is responsible for the floating of objects. Thus, this equation
$Thrust = \rho \times g \times V$ is also called the law of buoyancy. For the same reason submarines are always underwater is that they have a component called a ballast tank that allows water to enter the submarine, causing the submarine to be underwater because the weight of the submarine exceeds the buoyant force.