What do they mean by plot T^2 verus ms?

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The discussion centers on plotting T^2 versus ms using the equation T^2 = (4π²/k)(ms + mw). Participants clarify that ms represents the mass of the object being analyzed, mw is an additional mass, and k is a constant. The equation can be rearranged to express T^2 as a linear function of ms, where the slope (m) and y-intercept (c) are defined. To calculate mw, one must determine the y-intercept (c) from the graph and rearrange the equation accordingly.

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If you were to plot T^2 versus ms using the equation T^2= (4pie^2/k)(ms +mw) how would you calculate the value for mw?

can someone please help me? What do they mean by plot T^2 verus ms?
 
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dg_5021 said:
If you were to plot T^2 versus ms using the equation T^2= (4pie^2/k)(ms +mw) how would you calculate the value for mw?

can someone please help me? What do they mean by plot T^2 verus ms?
what are ms, mw, and k

so say plot T^2 vs ms means you plot T^2 on the Y (vertical) axis and ms on the X (horizontal) axis
 
Put

x = ms
y = T^2
m = 4 pi e^2/k
c = 4 pi e^2 mw/k

Then the given equation is

y = mx + c

This is the equation of a straight line with gradient m and y intercept c.

So, to find mw, you look at the value of c on your graph and then rearrange the expression for c to calculate mw.
 

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