Physics/BioPhysics 150 Studio 13 Equilibrium and elasticity; fluid statics Warmup problem: A solid plastic sphere of density 350 kg/m? and radius 10.0 cm is attached by a string of negligible mass to the bottom of an aquarium filled with water as shown in the figure. The density of water is 1000 kg/m?. What is the tension in the string when the plastic sphere is half-submerged in the water? Be sure to: e Identify forces and draw a free-body diagram for the plastic spheres e Write down the equation of motion for the sphere. e Solve the equation for the tension. Plastic sphere Water String 1. We have new groups today. Please govaround the group and introduce yourself. For each person introduce yourself and state: e Name @ Where are you located? e One fun fact. (e.g. where you're from, interests, hobbies, pets, aspirations, etc.) e Why you're taking Phys/BioPhy 150? Record answers for all your teammates. In the warmup problem, would the tension in the string increase, decrease, or remain unchanged if each of the following changes were made? (Hint: Using one of the symbolic expressions for the tension derived during the warmup, identify which variables are changing in each case, and then determine the effect of their change on the tension.) a. The water in the tank were replaced by heavy water (which has a higher density than water), while keeping the sphere exactly half-submerged. Circle one: Increase decrease unchanged b. The string were made longer, so that less than half of the sphere issubmerged in the water. Circle one: Increase decrease\" unchanged c. The mass of the sphere werednereased, while keeping its volume constant and keeping it exactly half-submerged. Circletjone: Increase decrease unchanged d._ djhe,mass.and volume of the sphere were increased, while keeping its density constant and keeping it exactly half-submerged. Circle one: Increase decrease unchanged