Object Mass Volume of the Weight of the Apparent (catch can + water) displaced water object in the air weight (kg) (m) (N) (N) Rubber Stopper
Table I Object Mass Volume of the Weight of the Apparent (catch can + water) displaced water object in the air weight (kg) (m) (N) (N) Rubber Stopper (Pobject > Pnuid) 13997 Kg 81.0m 1. 06 N 0. 249 N Wood Cube . 008 N (Pobject < Pnula) 09237 Kg|33.0 m3 . 32559 N Part 2. Determine the density of the golf ball – Data Record the following data, based on your measurements with the golf ball. Table 2 Object Mass of the Weight of the Apparent weight golf ball golf ball in the air of the golf ball (Kg) (N) Golf Ball 0. 4636 Kg 0. 454328 N Part 3. What is the mass? – Data Complete the table. Table 3 Object Mass of the Mass of the Prediction – Experimental golf ball 200 mL beaker the mass of the mass of the (kg) and water beaker, water. beaker, water. (kg) & submerged & submerged golf ball golf ball (kg) (kg) Golf Ball 046 39 . 33078 0. 37 718 Kg . 37 7 90 kg
Fa = PfI’LQ (5) where pr)ir is the density of fluid and v; is the volume of the submerged part of the object. As Eq 5 shows, the buoyant force depends on the density of the liquid and the volume submerged into the fluid, but not its weight or shape. If the density of the object is greater than that of the fluid, the object will sink. If the density of the object is less than that of the fluid, the object will float. If the densities are equal then the object’s weight is perfectly balanced by the buoyant force. When the object is placed into the fluid, an amount of fluid is displaced. The weight of this displaced fluid is: Wf = mfg = Pfi’frfi (T) The weight of this displaced fluid then must be equal to the buoyant force on the object. This relationship is known as Archimedes’ Principle. Ft; 2 “G” 2 PfoE (8) From this principle, we can see that whether an object floats or sinks in water is not based on its own weight, but the amount of water it displaces. That is why a veryr heavy ocean liner can float. It displaces a large amount of water. The difference in the weight of the object and the buoyant force is the apparent weight, Ham. This represents the force a scale would read if the object was weighed while submerged. W =l’l’L—Fb (9) flp?’
Table 1: Rubber Stopper and Wooden Cube 0.4 Mass of Catch Mass of Volume of Weight of Object Apparent Weight Weight of Buoyant Force Buoyant Force 0.2 Can with Water Displaced Water Displaced Water in Air Wo Wa Displaced Water Eg 5 Eg 9 (kg) (kg) (ml) (N) (N) (N) (N) (N) Meanc -0.069 1 0.139970 0.08 81 1.06379 0.249 0.78 0.79 0.81 0.0 0.092327 0.03 93 0.32559 0.008 0.31 0.91 0.32 Force, Ch P1 (N) 0.2 .0.4 Table 2: Golf Ball -0.6 Golf Ball Mass Weight of Golf Ball in Air Apparent Weight of Golf Ball Buoyant Force Acting on Golf Ball 0.8 (kg) (N) (N) (N) 0.04639 0.45509 0.069 0.39 10 20 30 40 50 60 Time (s) Table 3:Golf Ball Prediction and Experiment Force Measurement Force, Ch P1 (N) Run #7 Gof Ball Mass Mass of Beaker and Water Prediction – mass of beaker, water, Experimental mass of the beaker, and submerged golf ball water, and submerged golf ball (ka) (kr) (kg) (kg) 0.04639 -0.067N
Using Table 1 data, calculate the buoyant force using equations (5), (8) and
(9). Find the percent discrepancy between values (5) and (8) and (9) and (8).
2. Combine equations (9) and (5) to find the volume of the water displaced by the object. The volume of the displaced water equals the volume of the object. To find the Buoyant force use one of the equations from the introduction. Calculate the density of the golf ball as the ration mass over the volume. Find the percent discrepancy between the found and given density of the ball.
Object Mass of the golf ball(kg)Mass of the 200 mL beaker and water(kg)Prediction – the mass of the beaker, water, & Submerged golf ball(kg)Experimental mass of the beaker, water, & submerged golf ball(kg) Golf Ball
3. Show the calculation to explain the reading on the balance after you fully
immerse the golf ball of a known mass into the 200ml water without touching
the floor of the beaker with no water overflow from the beaker.
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