A fisherman and his young niece are in a boat on a small pond. Both are wearing

Question

A fisherman and his young niece are in a boat on a small pond. Both are wearing life jackets. The niece is holding a large helium filled balloon by a string. Consider each action below independently and indicate whether the level of the water in the pond, Rises, Falls, is Unchanged or Cannot tell.

The fisherman lowers the anchor and it hangs one foot above the bottom of the pond.
The fisherman fills a glass with water from the pond and drinks it.
The niece pops the helium balloon.
The fisherman knocks the tackle box overboard and it sinks to the bottom.
The niece gets in the water and pops the helium ballon
The fisherman lowers himself in the water and floats on his back.

Explanation / Answer

Remember that level of the water depends on the magnitude of the buoyant force that is equals the weight of the system

a) In this case the level of the water is unchanged because the anchor is in the boat or in water has the same weight.

b) in this case the level of the water rise because the weight of the water taken by the man is contributing to the weight of the system.

c) In this case the level of the water rise, the amount of helium is contribution to the total weight of the system.

d) In this case the level of the water is decrease because the total weight of the system is decreasing.

e) In this case the level of the water rise because the total weight of the system increase.

f) In this case the level of water is unchanged the total weight does not change.

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