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Question
Show that the quantity 2K/v2 has the unit of mass, where K is the kinetic energy of the body.
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Solution
Kinetic Energy, K = `1/2 mv^2`
where, m - Mass and V - Linear Velocity
We may now use the equation of a kinetic energy (K) in this `((2k)/V^2)` formula, we get
`therefore (2K)/V^2 = (2 xx 1/2 m V^2)/V^2 ...("Substitute" K = 1/2 mV^2)`
`therefore (2K)/V^2` = m
Therefore, the quantity.
`(2K)/V^2` will have the unit of mass m, which is kilogram (kg).
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