- #1
PhysicsNoob88
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Need Help regarding some problems...
Hi,
I have been trying to get these problems for some time now however at no prevail. If you guys can answer the questions below I promise I won't ever borther you guys again. Thanks a lot for those who do choose to help :shy:
1. The boat in the figure below has a weight (W) of 1400 N and floats at a depth of 8 m. The area of the hull is 60 m2.
(a) What is the weight density of the sea water in which it is floating ?
HINT : Consider the flotation principle
Rearranging the equation BF = WD x Volume,
WD = BF / volume ; volume = area x depth
(b) At what depth will the boat float if a 600 N cargo is added ?
HINT: Consider the flotation principle
Rearranging the equation BF = WD x Volume,
volume = BF / WD; and volume = area x depth
rearranging equation : depth = volume / area
2. Consider the hydraulic system below :
area in = 5 m2 ; area out = 80 m2
If a weight of 1600 N (Fout) must be lifted, how much force (Fin) must be applied to the input end ?
HINT - First determine what pressure must be provided at the output end to lift the weight of 1600 N.
3. A hot air balloon, with a mass of 14 kg., hoovers at an altitude of 8 km. where the weight density of the air is 2.8 N/m3. If a suitcase is dropped from the balloon, the balloon rises to an altitude where the weight density of the air is 2.1 N/m3. What is the weight of the suitcase ?
HINT: First determine the volume of the balloon; i.e., volume = BF / WD ; 'BF' is not 'mass'
Then using BF = WD x Volume, determine the new BF which can be used to determine the weight of the suitcase (i.e., this new BF is not equal to the weight of the suitcase)
Hi,
I have been trying to get these problems for some time now however at no prevail. If you guys can answer the questions below I promise I won't ever borther you guys again. Thanks a lot for those who do choose to help :shy:
1. The boat in the figure below has a weight (W) of 1400 N and floats at a depth of 8 m. The area of the hull is 60 m2.
(a) What is the weight density of the sea water in which it is floating ?
HINT : Consider the flotation principle
Rearranging the equation BF = WD x Volume,
WD = BF / volume ; volume = area x depth
(b) At what depth will the boat float if a 600 N cargo is added ?
HINT: Consider the flotation principle
Rearranging the equation BF = WD x Volume,
volume = BF / WD; and volume = area x depth
rearranging equation : depth = volume / area
2. Consider the hydraulic system below :
area in = 5 m2 ; area out = 80 m2
If a weight of 1600 N (Fout) must be lifted, how much force (Fin) must be applied to the input end ?
HINT - First determine what pressure must be provided at the output end to lift the weight of 1600 N.
3. A hot air balloon, with a mass of 14 kg., hoovers at an altitude of 8 km. where the weight density of the air is 2.8 N/m3. If a suitcase is dropped from the balloon, the balloon rises to an altitude where the weight density of the air is 2.1 N/m3. What is the weight of the suitcase ?
HINT: First determine the volume of the balloon; i.e., volume = BF / WD ; 'BF' is not 'mass'
Then using BF = WD x Volume, determine the new BF which can be used to determine the weight of the suitcase (i.e., this new BF is not equal to the weight of the suitcase)