Physics, asked by blaclevo12, 12 hours ago

The kinetic energy (E) of a particle depends on mass (m) of a particle and its velocity (v). Derive the relationship between kinetic energy, mass and velocity of the particle​

Answers

Answered by nischaykumar2462007
0

Explanation:

The dimension of energy [E]=[M

1

L

2

T

−2

]

The dimension of mass [M]=[M

1

L

0

T

0

]

Dimension of velocity[V]=[M

0

L

1

T

−1

]

Let [E]=k[M]

x

[V]

y

Where k is the proportionality constant which is a dimensionless quantity.

Therefore,

[M

1

L

2

T

−2

]=k[M

1

L

0

T

0

]

x

[M

0

L

1

T

−1

]

y

So, x=1,y=2

Thus, We have

E=kmv

2

It is found that k=

2

1

Hence, E=

2

1

mv

2

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