what is the dimension of work???​

Answers 2

Answer:

The Dimension of Work Done

= Unit of work done is Joule. Therefore, the dimension formula of work is represented as [M1 L2 T-2].

Answer:

Dimension of work is M¹L⁻²T⁻²

Explanation:

In context to the question;

we have to find the dimensional formula of work,

DERIVATION OF DIMENSIONAL FORMULA OF WORK;

We know that;

work (W) = force x displacement ..(1)

since; force = mass x acceleration = [M¹ x (L¹T⁻²)]

so the dimensional formula of force is  [M¹L¹T⁻²]

similarly;

the dimensional formula of force is only in meters so [M⁰L¹T⁰]

now by putting the both the formula in equation (1)

we get,

Work =  [M¹L¹T⁻²] x [M⁰L¹T⁰]

Work = M¹L⁻²T⁻²

Hence, Dimension of work is M¹L⁻²T⁻²

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