Question

✦✧✧ Question ✧✧✦ ➠ ᴅᴏɴᴛ sᴘᴀᴍ⚠️

The kinetic energy of an object of mass m, moving with a velocity of 5 m/s is 25 J. What will be its kinetic energy when its speed is doubled? it is given here doubled not tripled​

Answer 1

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Answer 2

Given:-

• The kinetic energy of an object of mass m, moving with a velocity of 5 m/s is 25 J.

To Find:-

• Kinetic energy when its speed is doubled .

Solution:-

• Firstly we'll find the mass of object :

Using Formula:-

$</u></p><p><u>[tex]\longmapsto\tt\boxed{Kinetic\:Energy=\dfrac{1}{2}\:{mv}^{2}}$

$Putting Values :$

$</p><p>\longmapsto\tt{25=\dfrac{1}{2}\times{m}\times{{(5)}^{2}}}$

$\longmapsto\tt{25=\dfrac{1}{2}\times{m}\times{25}}$

$\longmapsto\tt{25\times{2}=25\:m}$

$\longmapsto\tt{50=25\:m}$

$\longmapsto\tt{m=\cancel\dfrac{50}{25}}$

$\purple\longmapsto\:\large\underline{\boxed{\bf\blue{m}\pink{=}\red{2\:kg}}}$

Now:-

• If speed is doubled :

$</p><p>\longmapsto\tt{Speed=2\times{5}=10\:m/s}$

Using Formula :-

$\longmapsto\tt\boxed{Kinetic\:Energy=\dfrac{1}{2}\:{mv}^{2}}$

Putting Values :-

$\longmapsto\tt{\dfrac{1}{2}\times{2}\times{{(10)}^{2}}}$

$\longmapsto\tt{\dfrac{1}{{\not{2}}}\times{{\not{2}}}\times{100}}$

$\longmapsto\tt\bf{K.E=100\:J}$