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

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Chapter1: Units, Trigonometry. And Vectors
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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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