a 7.0 kg object weighs 55 N when submerged and weighed in water.
A) what is the value of the buoyant force of the water on the object
b) what weight of water is displaced by this object?
c) water weighs 0.0098 N per cubic centimeter. What volume of water (in cubic centimeters) is displaced by the object?
d) since the object is completely submerged, what is the volume of this object?
e) what is the objects mass density in grams per cubic centimeter?
Whos your teacher DR Gordon
To solve this problem, we'll need to use various concepts related to buoyancy, force, weight, and density. I'll walk you through the steps for each part of the question.
A) To find the buoyant force on the object, we can use Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object. Therefore, the buoyant force is equal to the weight of water displaced.
Given that the object weighs 55 N when submerged in water, we can conclude that the buoyant force is also 55 N. Therefore, the value of the buoyant force on the object is 55 N.
B) The weight of water displaced by an object is equal to the buoyant force acting on it. In this case, we found that the buoyant force is 55 N, so the weight of water displaced is also 55 N.
C) To find the volume of water displaced by the object, we need to know the density of water and the weight of the displaced water.
Given that water weighs 0.0098 N per cubic centimeter, we can calculate the volume of water displaced by dividing the weight (55 N) by the density (0.0098 N/cm^3).
Volume of water displaced = Weight of water displaced / Density of water
Volume of water displaced = 55 N / 0.0098 N/cm^3
Finally, convert the units to cubic centimeters (cm^3) because the density is given in N/cm^3.
C) The volume of water displaced by the object is the result of the calculation from the previous step, expressed in cubic centimeters.
D) Since the object is completely submerged and the volume of water displaced is its own volume, we can conclude that the volume of the object is equal to the volume of the water displaced by the object.
The answer to part D is the same as the volume of water displaced by the object, which we calculated in part C.
E) The mass density of an object is the mass divided by its volume. We can find the mass density of the object by dividing the mass of the object by its volume.
Given that the mass of the object is 7.0 kg and we found the volume in part D, we can calculate the mass density.
Mass density = Mass of the object / Volume of the object
Convert the mass from kg to grams and volume from cubic centimeters to cubic centimeters.
E) The object's mass density is the result of the calculation from the previous step, expressed in grams per cubic centimeter.