Question

An object of mass m and velocity is has kinetic energy 200 joule. find the new kinetic energy if the mass of object becomes double and velocity remain same ?

Answer 1

$\large \star$ Question :-

• An object of mass m and velocity v has kinetic energy 200 joule. Find the new kinetic energy if the mass of object becomes double and velocity remain same ?

$\large \star$ Answer :-

$\green\dashrightarrow\underline{\underline{\sf  \green{New   \:  KE \:  is \: 400\: Joule }} }$

$\→$ Step by step Explanation :-

Here we have :)

• Mass of object = m

• Velocity of object = v

• Kinetic Energy of object = KE = 200 J

❒ We Know that Kinetic energy of any object with mass n and velocity v is given by :-

$\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{   \blue{ \pmb {\frak{  \text{ KE}= \frac{1}{2} {m \text v}^{2} }}}}}}$

So, for given conditions :)

☞ Applying formulaof kinetic energy :)

$:\longmapsto \rm 200 = \frac{1}{2} {mv}^{2}$

$:\longmapsto \rm mv {}^{2} = 200 \times 2$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf  {mv}^{2} = 400} }}}$

$\large \bigstar$ When Mass becomes double :-

We Have :

• Mass of object = m' = 2m (new)

• Velocity of object = v

• Let Kinetic Energy of object = KE' (new)

☞Applying formula of kinetic energy :)

$:\longmapsto \rm KE' = \frac{1}{2} m'v {}^{2}$

$:\longmapsto \rm KE' = \frac{1}{\cancel2} \times \cancel2m {v}^{2}$

$:\longmapsto \rm KE' = {mv}^{2}$

$\maltese$ Putting Value of $\sf mv {}^{2}$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf KE' = 400 \:J } }}}$

Therefore :)

$\underline{\pink{\underline{\frak{\pmb{\text New \: Kinetic \: Energ \text y = 400 \:Joule }}}}}$

• @Okhey