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Physics Assignment - Finding K with a Mass of a Spring

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Added on  2020-05-16

Physics Assignment - Finding K with a Mass of a Spring

   Added on 2020-05-16

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Finding k with a Mass and a Spring 1FINDING K WITH A MASS OF A SPRINGStudent’s NameCourseProfessor’s NameUniversityCity (State)Date
Physics Assignment - Finding K with a Mass of a Spring_1
Finding k with a Mass and a Spring 2Finding k with a Mass and a SpringAbstractThe primary aim of the experiment is to find the value of constant k using a mass and a spring. It is a practical experiment involving the use of objects of same mass added gradually on a string and set in motion. By calculation of the duration taken to compete one cycle and plottinga graph of mass against time, it is possible to find the correct value of constant k. Introduction One of the common methods of determining spring constant is by using oscillating springs and recording the measurements. The most effective method of analyzing this motion of objects attached to a spring requires the incorporation of Newton’s second law of motion (Rodriguez and Gesnouin 2007). When a mass is attached to a spring and set into an oscillatory motion, the time it takes to complete a cycle is determined by its mass and the spring constant. Since the aim of the experiment is to determine the spring constant, it uses this knowledge to carry out procedures repeatedly and plot a graph to find the accurate value of the constant. According to Hooke’s Law, different springs have varying degree of elasticity that determines their extension constant (Cocco and Masin 2010). Comparatively, the springs used as shock absorbers in vehicles are less elastic than those used in home appliances as return springs (Michels et al. 2013). Therefore, their extension constants differ. Determining the spring constants illustrates their application in varying circumstances. Thus, this experiment is important since it educates the learners on practical approaches of Hooke’s Law and machines using the principle. Scientific Hypothesis
Physics Assignment - Finding K with a Mass of a Spring_2
Finding k with a Mass and a Spring 3Since the experiment determines the value of k, it hypothesizes its value by comparing the measurement with a specified accepted value. Thus, the hypothesis for the experiment is:k = 25Since experimentations are prone to errors, there is an allowance for such mistakes. Therefore, values close to 25 are acceptable. Hence, the most suitable hypothesis is:k = 25 ± 1MethodEquipment listTo carry out the experiment, the following items are need: a spring, 10 masses (50 grams each), a thirty-centimetre ruler, clamp stand, boss, clamp, stop clock, and plasticine.TaskFasten the clamp stand using a boss.Suspend the string whose constant is to be measured.Hang a 50g mass and displace it to set it into a simple harmonic motion.Measure the time taken for the pendulum to complete 10 cycles. Record this in a table along with the time period for 1 cycle.Write down the precision of the stop clock.Repeat this experiment twice more and take an average for the time taken for 1 cycle, T.Include a column in your table of T2, where T is the time period of 1 cycle.Include a column labelled k.Plot a graph of time period squared, T2 (on the x-axis) against mass, m (on the y-axis).Plot a line of best fit using the values obtained from the experiment and calculate its gradient.
Physics Assignment - Finding K with a Mass of a Spring_3
Finding k with a Mass and a Spring 4Experiment ResultsMass (Kg)Time for 10 cycles, t (s)Time for 1 cycle, T (s)T22k0.052.9920.29920.089539.478422.0550.103.8840.38840.150939.478426.1620.154.9970.49970.249739.478423.7160.205.4330.54330.295239.478426.7470.256.2700.62700.393139.478425.1070.307.2020.72020.518739.478422.8330.357.9120.79120.626039.478422.0730.408.3370.83370.695139.478422.7180.458.5000.85000.722539.478424.5890.509.6560.96560.922439.478421.400Obtaining mean values of T, for masses 100. 150, 200, 250, 300, 350, 400, 450 and 500g:Mean = 1/9(0.3884 + 0.4997 + 0.5433 + 0.6270 + 0.7202 + 0.7912 + 0.8337 + 0.8500 + 0.9656)= 0.6910A graph of time period, T2 in seconds against mass in kilograms.
Physics Assignment - Finding K with a Mass of a Spring_4

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