please show all work, THANK YOU 1. A student performs the vibrating string exper

Question

please show all work, THANK YOU

1. A student performs the vibrating string experiment using a special string. To change the amount of tension on the string he used several values of mass, m, attached to one end of the string. His measurements were: 8.10 9.33 10.4 0.500 8,68 v (m/s) 5.70 m (kg) 0.100 0,300 He found that velocity of the wave is described by mg 75 A where A and B are constants, and t is the time. Student wishes to plot a straight line graph to determine the values for A and B. Write given equation the in a form that is similar to the equation y mx b. (a) What variable(s) should be plotted on the vertical axis? (b) What variable(s) should be plotted on the horizontal axis? (c) Which variables) represent (s) the vertical intercept on the graph? (d) Which variable (s) representos) the slope of the graph? (e) Plot the graph to obtain the values for A and B. Be sure to include units and show all the work on the graph. g 9.80 m/s

Explanation / Answer

As per the given problem, it appears that the experiment the student is performing is the vibrations of a stretched string, where the velocity is directly proportional to the mass.

The velocity of the wave depends on the weight attached, therefore, the given equation may be re written as

a) The mass or weight should be plotted on the horizantal or X - axis. As the independent variable should be taken along x - axis.

b) As the velocity is varying as the 3/5 th power of weight, velocity becomes the dependent variable. Therefore velocity is the variable that should be taken along the Y - axis.

c) As the Constant is A. it represents the y - intercept

d) As the relation is re written  should be the slope.

e). The values of A and  can be simply obtained by plotting the graph.

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