Understanding Velocity Ratios: Derivation and Confusion Explained

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The discussion clarifies the derivation of velocity ratios, concluding that if v1 equals 2v2, then the correct ratio is 2:1. This indicates that the speed of the 1 kg mass is twice that of the 4 kg mass. There is confusion regarding whether to interpret the ratio as 1:2 based on coefficients or 2:1 based on velocity. To avoid ambiguity, it is emphasized that stating the mass speeds directly clarifies the relationship. Overall, the key takeaway is the importance of clear communication in expressing velocity ratios.
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Homework Statement
Two particles of mass 1kg and 4kg have same kinetic energy at a time. What is the ratio of their velocities at this time?
Relevant Equations
$$\frac{1}{2}mv^2$$
I was able to derive,
##1/2*1*v_1^2 = 1/2*4*v_2^2 \\
v_1=2v_2
##
But I am confused whether the ratio is 1:2(Looking at the coefficient) or 2:1
 
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V1 is twice V2, so the ratio is 2:1
if you want to be unambiguous, say: the 1 kg mass speed is twice as high as that of the 4kg mass
 
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