Math, asked by MichWorldCutiestGirl, 13 hours ago

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.


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Answers

Answered by anindyaadhikari13
17

\textsf{\large{\underline{Solution}:}}

Given:

\rm\longrightarrow E_{K}=25\: J

\rm\longrightarrow v=5ms^{-1}

We know that:

\rm\longrightarrow E_{K}=\dfrac{1}{2}mv^{2}

If velocity is doubled, the new kinetic energy will be:

\rm\longrightarrow E_{K}=\dfrac{1}{2}m(2v)^{2}

\rm\longrightarrow E_{K}=4\cdot\dfrac{1}{2}mv^{2}

\rm\longrightarrow E_{K}=4\cdot25\:J

\rm\longrightarrow E_{K}=100\:J

Alternative Method:

We know that:

\rm\longrightarrow E_{K}\propto v^{2}

Therefore, if velocity is doubled, Kinetic Energy becomes 4 times.

\rm=4\times25\:J

\rm=100\:J

\textsf{\large{\underline{Answer}:}}

  • Kinetic energy of the body is 100J.

\textsf{\large{\underline{Learn More}:}}

Potential Energy: It is the energy possessed by a body at rest due to its position size or shape.

\rm\longrightarrow PE=mgh

Kinetic Energy: It is the energy possessed by a body due to its state of motion.

\rm\longrightarrow E_{K}=\dfrac{1}{2}mv^{2}


anindyaadhikari13: Thanks for the brainliest ^_^
Answered by SugaryHell22
23

We know that

K.E = Kinetic energy attain by object

m = Mass of the object

v = Velocity of the object

Given parameters:

  • K.E. of the object = 25 J
  • Velocity of the object ( v) = 5 m/s

\bold{⇒ K.E= \frac{1}{2}  {mv}^{2} }

\bold{⇒ 25= \frac{1}{2} ×m× {5}^{2} }

50 = 25 × m

m = 2 kg

1st case:

When velocity is doubled, then

v = 10 m/s

m = 2 kg

\bold{⇒ K.E= \frac{1}{2}  {m}^{2} }

\bold{⇒ K.E= \frac{1}{2}  \times 2 \times  {10}^{2} }

K.E = 10²

K.E = 100 J

2nd case:

When velocity is increased three times, then

v = 15 m/s

m = 2 kg

\bold{⇒ K.E= \frac{1}{2} m {v}^{2} }

\bold{⇒ K.E= \frac{1}{2}  \times 2 \times 1 {5}^{2} }

K.E = 225 J

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