Understanding Velocity Ratios: Derivation and Confusion Explained

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SUMMARY

The discussion centers on the derivation of velocity ratios, specifically the relationship between two masses, 1 kg and 4 kg, and their respective velocities. The derived equation indicates that the velocity of the 1 kg mass (v1) is twice that of the 4 kg mass (v2), leading to the conclusion that the velocity ratio is 2:1. Participants clarify that to avoid confusion, it is essential to explicitly state the relationship, such as "the 1 kg mass speed is twice as high as that of the 4 kg mass." This precision in language is crucial for clear communication in physics.

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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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