Buoyant Forces Unraveled: A Deep Dive into Physics

Prompt

Instructions: MP4 Benchmark: This benchmark will apply your understanding of fluids. The directions and description of the assignment are listed below. Directions: Determine how much force a string exerts on a fully submerged table tennis (or styrofoam) ball to keep it fully submerged knowing only the densities of the water and the table tennis ball (or styrofoam). You will have access to a ruler and a platform scale. For your second independent method, you will pull on the string using a spring scale to submerge the ball as shown. Assignment: Create a 1-page (8.5”x11” or larger) infographic that represents all that has been determined from the experiment such that a student who was not present is able to understand all concepts to the same level as you. Design Perform Assess Verify Calculate Students develop and represent an experimental procedure that will determine the physical quantity in question. Relationships between independent and dependent physical quantities are clearly defined and understood. Reasonable assumptions are made to allow for the calculation of physical quantities. Students perform the designed experiment and collect all necessary data. Students keep track of the uncertainty of each device used to make measurements and attempt to reduce these issues. Students analyze the data, validate, assumptions, and account for uncertainties present in the experiment. All uncertainties are calculated and accounted for. Assumptions are described and all effects that carry through are described. Students develop and perform an independent experiment that verifies the results of the first experiment while reducing assumptions and uncertainties. An independent experiment is designed in which the least amount of overlap between equipment and concepts is used. Students utilize all physics concepts necessary to correctly determine the physical quantity in question. Mathematical models are clearly shown and utilized. Representations Consistency Prompt Concise Clarity Includes multiple complete representations (at least 3); such as verbal, mathematical, diagram, bar chart, plot graph, and/or picture analogy. All information present in all representations is consistent. Submitted on time. Within the 1 page limit. All information is clearly represented. Variables are easily related and identified between representations. Data: Mass of ball = 2.6 grams Volume = 3.35e-5 cubic meters Trial 1: circumference = 12.5 cm; Volume = 32.98 cm3 → 3.2988 * 10-5 m3 Trial 2: circumference = 12.5 cm; Volume = 32.98 cm3 → 3.2988 * 10-5 m3 Trial 3: circumference = 12.7 cm; Volume = 34.591 cm3 → 3.4591 * 10-5m3 r = 12.5/2pi = 1.98943678865 r = 12.5/2pi = 1.98943678865 r= 12.7/2pi = 2.02126777727 Procedure Record the mass of the ball. (2.6g); Record the volume of the sphere. Do this by finding the circumference of the ball, dividing it by 2π, and recording that as the radius of the sphere. Then, use the formula, V = 4/3 * pi * r3 Using a plastic cup, attach a binder clip to the bottom of the cup Attach a ping pong ball to a string, and attach a paper clip to the other end of the string Hook the string and paper clip through the binder clip, allowing the ball to remain in the cup Attach a force spring to the paper clip Fill the cup with the water, while keeping the spring scale and paper clip out of the water Measure the force at the start of the experiment to ensure the “equillibrium point” Keep pulling the spring scale up until the ball is submerged in the water, and find the force reading at this point Keep doing this trial until you are able to calculate an average ((2(1.98943678865))+2.02126777727)/(3) = 2.00004711819 +/- 0.021 % uncertainty = 0.021/2.0004711819 = 1.05 %*3 = 3.15% 2.02126777727 - 2.00004711819 = 0.021 2.00004711819 - 1.98943678865 = 0.011

Image Details