Answer Happy

first 6 pages is what was conducted. The excel is to be used as a calculator with formualas and theres the 8 questions photographed last for post lab. This is all the info ive been given, please help!
this was all the info i was given
Laboratory #12: Buoyant Forces and Density of a Solid Objective: To study the buoyant force on a submerged object and use it to determine the density of a solid. Materials: Electronic Balance, Vernier Caliper, Two Adjustable Stands, Metal Cup or Beaker, Solid Metal Block, Solid Metal Cylinder. Figure 1: The experimental setup. Note string attached to hook underneath to weigh hanging objects
Introduction: The mass density of an object is one of its more basic physical properties and is defined: p=" Eq (1) The average density of an object can be found simply by measuring the object's mass, m, and dividing this by its calculated volume, V. In SI unit's density is expressed in kg/m". In this experiment we will use the more convenient units of grams per cubic centimeter g/cm³. Another method for finding the density employs Archimedes' Principle of buoyancy. His principle states that any object immersed in a fluid will experience an upward buoyant force. Furthermore, this buoyant force has a magnitude equal to the weight of fluid the object displaces. Consider what would happen if the beaker of fluid shown in Figure I were removed. The block, shown in the diagram, would then be hanging in air by the thread which is attached below the balance. The block's mass, and therefore its weight, would be the same as if it were simply placed on the scale pan and "weighed", or more correctly "massed". When suspended below the balance the tension in the thread balances the force of gravity, or weight of the object. The object's weight and mass are related by the equation. W = mg Eq (2) where g is the acceleration of gravity, 9.8 m/s². The electronic balance could be calibrated to measure this force, (weight) in SI units of Newtons. However, like most balances, this balance is calibrated to read the object's mass, m, in grams, not its weight. As equation (2) clearly shows, weight and mass are distinctly different quantities. If an object is fully immersed in a fluid, as shown in Figure 1, the electronic balance will respond to the change in the tension in the thread. In this case this tension is equal to the weight, W, minus the upward buoyant force, Fu, of the fluid. This tension is called the apparent weight, of the submerged object, W'. The balance will read the apparent mass, m', not the true mass of the object. The quantities are related by the expression: W' = m'g = mg - FB Eq (3) From Archimedes Principle the buoyant force, FB, is equal to the weight of the fluid displaced. If me is used to denote the mass of the fluid displaced, Vf the volume, and pr the density of the fluid, then the buoyant force can be expressed as: FB = mfg=pfVf9=pVg Eq (4) We have used the fact that the mass of the fluid displaced equals the density of the fluid times the volume of the fluid displaced and, the fact that when the object is fully submerged the volume of the fluid displaced is the same as the volume of the object. Substituting Fa in Eq (4) into Eq (3) and using the fact that Vm/p, Eq (3) becomes: m'g = mg - mg P Some simple algebra can be used to rearrange the expression to give: mp f m-m' Eq (5) Eq (6)
Procedure: 1. Make sure the electronic balance is plugged in and press the "ON" button to turn it on (you may have to depress the button for a couple of seconds). Check the display to see if the balance is set in the gram mode (a small "g" should be displayed in the upper right corner). If it is in a different mode, press the mode key (OFF key). Depress it until the display shows the balance in the gram mode. Hang the small metal cylinder from the balance and read and record its mass value on the Data Sheet. S 1040 400 1 2. With the Vemier calipers measure and record the height and diameter of the cylinder using cm units. From your measurements calculate and record the cylinder's volume: V- arh. This data is already recorded for you on the data sheet 3. Using the definition of mass density, and your measurements, calculate and record the cylinder's density. 4. Place a beaker of water on the adjustable platform under the balance. Suspend the cylinder with a thread from the hook on the bottom of the balance. Make sure the object is completely submerged in the water and doesn't touch the inside of the glass beaker.
4 (cont.) Read and record the apparent mass, m', of the cylinder. ON/ZE Scout Pre 170 66.0 U 400 PRINT UN mass of cylinder hanging in water (apparent mass) 5. Use Eq (6) based Archimedes Principle, to calculate the cylinder's density. Note: The density of water (the fluid we are using) is 1.0 g/cm³. 6. Compute the % difference between the densities found by the two experimental methods.
7. Repeat the measurements for the metal block. Note: The volume of a cube is V-L Mass of block hanging in air Block hanging in water 1814
ONZE Scent P 55.4- 9 FRANT UM mass of block hanging in water (apparent mass)
fx Density of Water (g/cm3) 1 Density of Water (g/cm3)) 2 3 Quantity Mass (g) 456 Dimensions 7 Length (cm) 8 Height (cm) Diameter (cm) Radius (cm) Calculated Volume (cm3) 9 10 11 12 13 14 15 16 Apparent mass, m' in grams, when submerged in water 17 18 19 20 22232425288 21 22 % Difference in density between Methods 1 & 2 26 25 % Difference between Accepted Density of Al Density (Method 1) in g/cm3 p-mvv 29 Density (Method 2) in g/cm3 Calculated from Eq (6) 27 and Method 2 30 31 32 33 34 or B 1.00 Metal Cylinder 7.27 2.53 Metal Block 3.16 D E 0 F LL G H Accepted Density of Aluminum 2.70 g/cm3 G
QUESTION 2 In this lab, measurements were made of mass (submerged and unsubmmerged and dimensions of an aluminum cube and an aluminum cylinder. For the following situations, determine if the experimental uncertainty introduced is fandom or systematic Use R for random and S for systematic in your answers! The balance used in good to +/-0.1 g The Vernier caliper used is good to +/-0.1 mm. A student group is rushing through the lab and their aluminum cube is not fully submerged. A student measures the dimensions of SINHO UTSIDE sappige cylinder the cube using the inside scale on the caliper instead of the outside scale 12 -6
QUESTION 3 Our cube was fully submerged and we were careful not to allow it to touch any surface of the beaker. If we were to draw a diagram of the forces acting on submerged the cube, which of the following should we include? O a. Weight down and Tension up O b. Weight down and bouyant force up Tension up Oc. Weight down, Bouyant force up, 1 Od. Weight down, Bouyant Force down, Tension up Oe. Weight down, Bouyant Force down, Normal Force up
QUESTION 4 A student group is careless and allows the submerged cube to make contact with the bottom of the beaker. Which statement below is correct? O a. There is no additional force acting on the block. Ob. There is now an downward normal force acting on the cube and the submerged mass of the cube will be too large. Oc. There is now an upward normal force acting on the cube and the submerged mass of the cube will be too large. O d. There is now an upward normal force acting on the cube and the submerged mass of the cube will be too small.
QUESTION 5 Assume we had accidentally submerged our cube in such a fashion that a few mm of the cube were actually above the surface of the water. Which of the following describes the effect of this poor experimental technique? O a. The apparent mass is too large and so, by equation 6, the calculated density is now too large. O b. The apparent mass is too large and so, by equation 6, the calculated density is now too smail. O c. The apparent mass is too small and so, by equation 6, the calculated density is now too large. O d. The apparent mass is too small and so, by equation 6, the calculated density is now too small.
QUESTION 6 Take Test: Lab #7 Bouyant Force Assume we had accidentally submerged our cube in such a fashion that cube lightly touches the bottom surface of the beaker. Which of the following describes the effect of this poor experimental technique? O a. The apparent mass is too small and so, by equation 6, the calculated density is now too large O b. The apparent mass is too large and so, by equation 6, the calculated density is now too small. Oc. The apparent mass is too small and so, by equation 6, the calculated density is now too large Od. The apparent mass is too small and so, by equation 6, the calculated density is now too small QUESTION 7 0.5 points Save Answer Consider two identical pails of water filled to the brim. One pail contains only water, the other has a piece of wood floating in it. Which pail has the greater weight? O a. The pail with water. Since the wood is floating it has a lower density than water. O b. The pail with wood. Even though the wood is floating, the portion of wood above the water adds additional weight. Oc. They have the same weight the bouyant force provided by the displaced water offsets the weight of the floating wood d. Cannot be determined unless we know how much of the wood is submerged in the waterf 0.5 points
QUESTION 8 Which of the following did we neglect to include in our model (Eq. 2-6)? O a. The mass of the string. O b. The bouyant force on the string. O c. The mass of the hook on the block. O d. The bouyant force on the hook on the block. O e. We ignored all of the above!