Question

the formula for kinetic energy of a particle having mass M and a velocity V using the dimenision analysis prove it ​

Answer 1

Answer:

1/2mass × velocity square

Explanation:

imagine that u=0

then by 3rd equation of motion v×v=u×u+2as (by replacing u with v){eq.1}

from second law of motion f=m×a and a=f/m (this is eq. 2)

put the value of a in eq.1

v×v=2×f/m×s

f×s=1/2mv×v

hence proved and f×s=workdone=kinetic energy

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