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Net Force Lab INTRODUCTION Newton’s second law states that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to the object’s mass. In this experiment you will use vector analysis to determine the force required to produce a system in equilibrium. You will then use your knowledge of Newton’s second law to determine the theoretical acceleration on an object that experiences a net force. This value will then be compared to an experimental value for acceleration determined from the equations of motion. SAFETY Review the lab safety guidelines. Always follow correct procedures in the lab. Moving masses could prove hazardous. Be careful not to let moving masses fall on you or pinch any fingers. OBJECTIVES Predict the force necessary to counter balance the resultant force of one or more force vectors. Compare predicted values to experimental results through calculating percent error. Determine the acceleration of a mass using Newton’s second law and comparing that acceleration to experimental results. MATERIALS force table and accessories set of masses string meter stick stopwatch long wooden planks PROCEDURE Part 1: Prediction of the required force to achieve equilibrium. For the following situations predict what the unknown vector’s magnitude and direction must be in order to yield a zero net force. In order to do this you will need to use graph paper. You may make your predictions graphically using scale drawings or algebraically using trigonometry. 1. 2. 3. 4. A 2 Newton force at zero degrees. A 2 Newton force at zero degrees and a 2 Newton force at 90 degrees. A 2 Newton force at zero degrees and a 4 Newton force at 270 degrees. A 2 Newton force at zero degrees, a 2 Newton force at 60 degrees, and a 5 Newton force at 180 degrees. 1 Part 2: Experimental determination of the force to achieve equilibrium. Set up the above situations on the force table and determine the magnitude and direction of an additional force that would cause the net force to be zero. Compare your predictions to the experimentally measured force values and angles by finding the percent error for all four situations. Part 3: The acceleration of a system when a net force is present. Use a longer string so that both ends hang down to the bottom of the force table base. Hang 200 grams from one end of the force table and 200 grams from the opposite end. Add the minimum amount of mass that will cause the mass system to accelerate. 1. Determine the net force on the system and calculate the theoretical acceleration of the system using Newton’s second law. 2. Calculate the experimental acceleration of the system by measuring the distance and time the object falls assuming it starts from rest. 3. Determine the percent error between your calculated theoretical value for acceleration and the experimental acceleration. ANALYSIS 1. Show all work for part 1. 2. Give the mass and force values for all counter balancing resultant forces for part two. Be sure to include the magnitude of the force as well as the direction. 3. Calculate the % error between your predicted value and the experimental value for both magnitude and direction of the counterbalance forces for part 1 and part 2. 4. From part three, show the calculation for the theoretical value for acceleration of the system. 5. From part three, create a data table including the trial, displacement, time, average velocity calculation, and acceleration. 6. Show a sample calculation for the work done in order to calculate the average velocity and acceleration values for part three. 2