Question

check the dimensional consistency of the equation ,kinetic energy =(momentum)2/2×(mass)​

Answer 1

L.H.S. = $\large\rm {K.E. = ML²T^{-2}}$

R.H.S. = $\large\rm{\frac {[MLT^{-1}]^{2}}{M}}$

= $\large\rm { ML²T^{-2}}$

L.H.S. = R.H.S.

HENCE PROVEN✓

Answer 2

Answer:

L.H.S. = \large\rm {K.E. = ML²T^{-2}}K.E.=ML²T

−2

R.H.S. = \large\rm{\frac {[MLT^{-1}]^{2}}{M}}

M

[MLT

−1

]

2

= \large\rm { ML²T^{-2}}ML²T

−2

L.H.S. = R.H.S.

HENCE PROVEN✓