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The SI unit of energy is J = kg m^2 s^(-...

The SI unit of energy is `J = kg m^2 s^(-2),` that of speed `upsilon` is `ms^(-1)` and of acceleration a is `ms^(-2)` which of the formulae for kinetic energy (K) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body).
(a) `K = m^2 upsilon^3` (b) `K = (1)/(2)m upsilon^2` (c ) K= ma
(d) `K =(3)/(16)m upsilon^2` (e ) `K = (1)/(2) m upsilon^2 +ma`

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The SI unit of energy is J=kg m^(2)s^(-2) , that of speed v is ms^(-1) and of acceleration a is ms^(-2) . What of the formulae for kinetic energy (k) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body) : (a) K = m^(2)v^(2) (b) K = (1/2)mv^(2) ("c") K= ma (d) K = (3/16)mv^(2) (e) K=(1/2)mv^(2)+ma

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