Question

ans the que in the attachment​

Answer 1

♊♊YOUR ANSWERS♍♍

✍ E = 1/2 mv²

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EXPLANATION —

↪Actually welcome to the concept of UNIT& DIMENSION

Since we  know that,

The dimension of energy, [E] = [M¹L²T¯²]

,, ,, ,, ,, ,, mass, [M]= [M¹LⁿTⁿ]

,, ,, ,, ,, ,,Velocity, [V] = [MⁿL¹T¯¹]

here n = 0

Let [E] = k[M]^x [V]^y

Where k is the proportionality constant which is dimensionless quantity.

Therefore,

[M¹L²T¯²] = [M¹LⁿTⁿ]^x [MⁿL¹T¯¹]^y

So x = 1, y = 2

E = kv²

It is found that, k = 1/2

∴E = 1/2 mv²

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