Title: Floating Ship Objective: You will verify Archimedes\" Principle and determine requirement for an object to float in water. Apparatus: spring scale, block of wood, clay, graduated cylinder, string, iron cube, aluminum cube, mass box, cup. Background Theory: A chunk of iron cube sinks in water. However, a ship made of iron floats in water. Both iron cube and ship are made of same material. What makes the different results between the two objects? Archimedes' principle answers the question. It states the magnitude of buoyant force acting on an object, which is partially or completely submerged in fluid, is equal to the weight of the fluid displaced by the object. If magnitude of buoyant force acting on an object is equal to the magnitude of weight, then the object stays floating. The object sinks when magnitude of buoyant force acting on an object is less that magnitude of weight. Experimental Method: 1. Measure mass of an aluminum cube, weight of aluminum cube inside of water and out of water. Buoyant force is the difference between the weight of cube inside and outside of water. Calculate the buoyant force acting on the cube of aluminum. 2. Immerse the aluminum cube inside of graduated cylinder with water and measure volume of water displaced by noting the initial and final water level. Calculate weight of water displaced by the aluminum cube. Note: 1ml water is equal to 1g of water. W=mg where g: 9.80m/s' 3. Measure mass of a wooden block with a balance and place in water inside of a cup. Measure the volume of water displaced to obtain mass of water displaced. Calculate weight of water displaced. 4. Add 100g mass on top of wooden block and place in water inside of a cup. Measure the volume of water displaced to obtain mass of water displaced. Calculate weight of water displaced. 5. Measure 40g of clay ball with a balance. Immerse the clay ball inside of graduated cylinder with water and measure volume of water displaced by reading the initial and final water level. Calculate weight of water displaced by the clay ball. 6. Make a boat or bowl shape with 40g of clay ball. Place on top of water inside of a cup while making sure that the boat stays floating in water. If it does not float, make it a little bigger than initial size. Measure volume of water displaced by reading the initial and final water level. Calculate weight of water displaced by the boat. Data: steps Observation 1,2 Weight of Al in water: initial water level: Weight of Al out of water: final water level: Buoyant force on Al: volume of water: Mass of water: Weight of water: 3,4 Mass of block: Mass of block+100g: initial water level: initial water level: final water level: final water level: volume of water: volume of water: Mass of water: Mass of water: Weight of water: Weight of water: Buoyant force block: Buoyant force block+100g: Weight of block: Weight of block+100g: 5,6 Mass of clay ball: Mass of clay ship: initial water level: initial water level: final water level: final water level: volume of water: volume of water: Mass of water: Mass of water: Weight of water: Weight of water: Buoyant force ball: Buoyant force ship: Weight of ball: Weight of ship: Questions: 1. What are sources of error? 2. Is buoyant force on Al equal, less, or more than the weight of water displaced? 3. Is buoyant force on the block equal, less, or more than the weight of water displaced? 4. Is buoyant force on clay ball equal, less, or more than the weight of water displaced? 5. Is buoyant force on clay ship equal, less, or more than the weight of water displaced? 6. What is necessary condition for floating objects in water