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sauri
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In the equation for Hookes law what values do I consider if I was to plot for the value of k?. Would plotting T vs M give me this and would the gradient be equal to k?
hellraiser said:What is the equation for time period?
T = 2(pi) sqrt[m/k]
Plotting the graph of M vs T^2 vs M i.e. T^2 on x-axis will give you the value of [k/2(pi)]^2
Hookes Law is a principle in physics that states the force needed to extend or compress a spring is directly proportional to the distance the spring is extended or compressed.
The purpose of plotting T (tension) vs M (mass) for Hookes Law is to determine the spring constant, k, which is a measure of the stiffness of the spring. This can then be used to predict the behavior of the spring when different forces are applied.
To plot T vs M for Hookes Law, you will need to measure the tension (T) in the spring for different masses (M) attached to the spring. Then, plot T on the y-axis and M on the x-axis. The resulting graph should be a straight line, and the slope of the line will give you the value of k.
The accuracy of the plotted graph can be affected by factors such as human error in measuring the tension and masses, variations in the spring's stiffness, and external factors like air resistance.
Finding the value of k in Hookes Law is important because it allows us to understand and predict the behavior of springs in different situations. It also has practical applications in fields such as engineering and materials science, where springs are commonly used in various designs and structures.