Question

If the kinetic energy becomes 256 times of initial value then new linear momentum

Answer 1

Hola mate.......here is your answer....

$\: you \: are \: asked \: to \: find \: the \: new \\ kinetic \: energy \: and \: then \: linnear \: \\ momentum. \\ \\ let \: the \: original \: kinetic \: \: energy \\ \: of \: the \: body \: \: = \\ \\ \: \: \: \: \: \: \: kinetic \: energy \: = \: \frac{1}{2} m {v }^{2} \\ \\ \\ new \: kinetic \: energy \: = \: (256 )\times \frac{1}{2} m {v}^{2} \\ \\ we \: can \: write \: \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: p = \: mv \: = \: linnear \: momentum \\ \\ \\ hence \: kinetic \: energy = \: \frac{p \: v}{2 } \\ \\ now \: \: you \: can \: see \\ \\ \: \: \: \: \: kinetic \: energy \: \: \alpha \: \: linnear \: momentum \\ \\ so \: \: \: \frac{initial \: kinetic \: energy}{final \: kinetic \: energy} = \: \frac{initial \: momentum}{final \: momentum} \\ \\ but \: final \: kinetic \: energy \: = \: 256 \times initial \: kinetic \: energy \\ \\ \\ \frac{initial \: kinetic \: enegy \: }{256 \times initial \: kinetic \: energy} \: = \: \frac{initial \: momentum}{final \: momentum} \\ \\ your \: anwe \: is \: thus \\ \\ final \: \: linnear \: momentum \: = \: 256 \times \: initial \: linnear \: momentum$


hope u understood ^_^