Question

A fisherman and his young son are in a boat on a small pond. Both are wearing life jackets. The son is holding a large helium filled balloon by a string, holding a significant part of his weight. Consider each action below independently and indicate whether the level of the water in the pond, Rises, Falls, is Unchanged or Cannot tell.
The son pops the helium balloon.
The fisherman knocks the tackle box overboard and it sinks to the bottom.
The son finds a cup and bails some water out of the bottom of the boat
The fisherman lowers himself in the water and floats on his back.
The fisherman lowers the anchor and it hangs one foot above the bottom of the pond. (the anchor is initially inside the boat)
The son gets in the water, looses his grip on the string, letting the balloon escape upwards.

Answer 1

(a) The son pops the helium balloon (unchanged)

(b) The fisherman knocks the tackle box overboard and it sinks to the bottom (rises)

(c) The son finds a cup and bails some water out of the bottom of the boat (falls)

(d) The fisherman lowers himself in the water and floats on his back (unchanged)

(e) The fisherman lowers the anchor and it hangs one foot above the bottom of the pond (rises)

(f) The son gets in the water, looses his grip on the string, letting the balloon escape upwards (rises).

Displaced volume of water in the pond

According to Archimedes principle, when a body is partially or completely immersed in a fluid, it experiences an upthrust which is equal to weight of to fluid displaced.

F = ρVg

V = F/ρg

where;

• V is volume of water displaced
• ρ is density of the immersed object
• g is acceleration due to gravity

When an object with a significant weight is dropped into the pond, the level of water in the pond will rise and vice versa.

The son pops the helium balloon

The water level in the pond will be Unchanged, since the weight of the balloon is almost insignificant.

Fisherman knocks the tackle box overboard and it sinks to the bottom

The water level will rise because the weight of the tackle box is significant.

Son finds a cup and bails some water out of the bottom of the boat

The water level will fall since some volume of water is being removed.

Fisherman lowers himself in the water and floats on his back

The water level will be unchanged, since nothing new is added into the pond.

Fisherman lowers the anchor and it hangs one foot above the bottom of the pond

The water level will rise because the anchor will displace some volume of water upwards when it is dropped inside the pond.

Son gets in the water, looses his grip on the string, letting the balloon escape upwards.

The water level will rise, because the balloon will displace the water upwards when it escape upwards.

Learn more about upthrust here: brainly.com/question/23931817

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