Question

Question #b7f35

Answer 1

We know that kinetic energy in Newtonian mechanics is given by the expression

`KE=1/2mv^2` .......(1)
Keeping the mass `m` constant and tripling the velocity `v` changes the kinetic energy of the body to
`KE_"new"=1/2m(3v)^2`
`=>KE_"new"=1/2mxx9v^2`
This can be rewritten as
`=>KE_"new"=9xx(1/2mv^2)`
Recognizing that quantity within the brackets is the original `KE` as in equation (1), we may write it as
`KE_"new"=9xxKE`

`=>` New Kinetic energy is nine times the original kinetic energy.