(ii) The student finds that the spring does obey Hooke's law. Sketch a graph of her results on the axes. extension 0 0 force (Total for question = 9 marks)
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Mathematically, it is expressed as F = -kx, where F is the force applied to the spring, x is the displacement, and k is the spring constant. Show more…
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In a Hooke's law experiment, the following weights were attached to a spring, resulting in the following elongations: $$ \begin{array}{cc} \text { Weight (N) } & \text { Elongation (cm) } \\ \hline 50 & 2.0 \\ 75 & 3.3 \\ 105 & 4.2 \\ 125 & 5.0 \\ 150 & 6.0 \\ 175 & 7.4 \\ 225 & 9.5 \\ 275 & 11.1 \end{array} $$ (a) Plot the graph of weight versus elongation and draw the best straight line through the data. (b) From the graph, what weight corresponds to an elongation of $7.5 \mathrm{~cm} ?$ (c) From the graph, what elongation corresponds to a weight of $220 \mathrm{~N} ?$ (d) From the graph, determine the spring constant.
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The data is taken from the experiment of Hooke's Law. Plot the suitable graph to find the spring constant using the slope of the graph. Mass m (g) T (s) 0.4 1.2 0.6 0.6 0.8 0.8 b) Find the spring constant from the graph Show the X-axis and Y-axis scale properly with units. Write the expression for the slope of the graph that is to be drawn in terms of the physical quantities shown on the axes. Write the expression that gives k from the slope of the graph. Write the unit in terms of SI units. Express your answer to 2 significant figures.
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DATA A physics student measures the energy stored in a spring as a function of the distance it is stretched beyond its undistorted length. Her data are given in the table. $$ \begin{array}{cc} x(\mathrm{~cm}) & \text { Energy (J) } \\ \hline 2.6 & 0.34 \\ 6.3 & 2.00 \\ 7.5 & 2.81 \\ 8.2 & 3.36 \end{array} $$ Draw a linearized graph of the data by plotting the spring's energy as a function of the square of the distance it is stretched. Using a linear "best fit" to the data, determine the force constant of the spring.
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