Question

Derive the formula for the kinetic energy of an object of mass m , moving with velocity v.​

Answer 1

Answer:

ke=1/2 mv•mv

Explanation:

F=ma

and we know that a=v•v-u•u/2S( here dot means multiply)

[W=F×S] [ W÷S=F]

W÷S=M × V×V-U×U/2S

W=M×V×V-U×U/2S×2S [BY TRANSPOSING OF 2S]

W=M×V×V-U×U/2 [ LET U=0 BECAUSE IF WE WOULD TAKE SITUATION OF STONE FALLING FROM A HEIGHT]

SO, W=1/2 MV×V

[WE KNOW THAT W=Ke ]

so, Ke=1/2mv×v

HENCE PROVED