An object is measured to have a weight of 116 N (mass = 11.6 kg). When it is placed in water, the weight appears to be 84 N. This is the reading on a spring scale the is holding the object in the water or the weight of the object as measured from a scale located in the water. (a) What is the buoyant force acting on the object? (Hint: Remember that the system is in equilibrium.) Fbuoyant = 32 N (b) According to Archimedes' Principle what is the weight of the water that is displaced when the object is placed in the water? wwater displaced = 32 N (c) According to your answer for part (b) and the relationship between weight, mass, and gravity, what is the mass of the water displaced? Use 10 m/s2 for gravity. mwater displaced = 3.2 kg (d) What is the volume of the water displaced? [Use your answer for part (c) and the fact that the density of water is 1 kg/L. Remember the relationship between density, mass, and volume can be expressed as Volume = mass density . Vwater displaced = 3.2 L (e) If the object is totally submerged, what must be the volume of the object according to your answer to part (d)? Vobject = 3.2 L (f) What is the density of the object? (Notice that the density of the object is greater than the density of water which is why the object sinks.) ?object = _____ kg/L
An object is measured to have a weight of 116 N (mass = 11.6 kg). When it is placed in water, the weight appears to be 84 N. This is the reading on a spring scale the is holding the object in the water or the weight of the object as measured from a scale located in the water.
(a) What is the buoyant force acting on the object? (Hint: Remember that the system is in equilibrium.)
Fbuoyant = 32 N
(b) According to Archimedes' Principle what is the weight of the water that is displaced when the object is placed in the water?
wwater displaced = 32 N
(c) According to your answer for part (b) and the relationship between weight, mass, and gravity, what is the mass of the water displaced? Use 10 m/s2 for gravity.
mwater displaced = 3.2 kg
(d) What is the volume of the water displaced? [Use your answer for part (c) and the fact that the density of water is 1 kg/L. Remember the relationship between density, mass, and volume can be expressed as Volume =
| mass |
| density |
.
Vwater displaced = 3.2 L
(e) If the object is totally submerged, what must be the volume of the object according to your answer to part (d)?
Vobject = 3.2 L
(f) What is the density of the object? (Notice that the density of the object is greater than the density of water which is why the object sinks.)
?object = _____ kg/L
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