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

Question

A fisherman and his young nephew are in a boat on a small pond. Both are wearing life jackets. The nephew is holding a large floating helium filled balloon by a string. Consider each action below independently, and indicate whether the level of the water in the pond R-Rises, F-Falls, S-Stays the Same, C-Can't tell. (If in the first the level Rises, and in the second it Falls, and for the rest one Cannot tell, enter RFCCC)

A) The fisherman lowers himself in the water and floats on his back
B) The fisherman fills a glass with water from the pond and drinks it.
C) The nephew gets in the water, looses his grip on the string, letting the balloon escape upwards.
D) The fisherman knocks the tackle box overboard and it sinks to the bottom.
E) The nephew pops the balloon.

Explanation / Answer

Archimedes principle

the upward foce actin on a body in fluid is equal to weight of the displlaced fluid.

Fup = D_liquid*volume of the displaced fluid*g

the upwards force balances the weight of the body.

A) here the weight remains same so the water remains same (S)

B) here the weight of the body ( boat+fisherman+nephew0 increases.the water level rises (R)

C) here the nephew sinks more than when he is holding the ballon. so the water level rises R

D) the amount of volume immersed is same the level S

E) more volume of the boat sinks level rises R

SRRSR

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