Question

dimension formula of Kinetic energy.​

Answer 1

Answer:

dimensionally represented as [M1 L2 T-2].

Answer 2

Answer:

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The dimensional formula of Kinetic Energy is given by,

[M1 L2 T-2]

Where,

M = Mass

L = Length

T = Time

Derivation

Kinetic energy (K.E) = [Mass × Velocity²] × 2‐¹ . . . . . (1)

The dimensional formula of Mass = [M¹L⁰T⁰] . . . . (2)

Since, Velocity = Distance × Time-¹ = [L] × [T]-¹

∴ The dimensional formula of velocity = [M⁰L¹T-¹] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

⇒ Kinetic energy = [Mass × Velocity²] × 2-¹

Or, K.E = [M¹L⁰ T⁰] × [M⁰ L¹T-¹]²= [M¹L² T-²]

Therefore, Kinetic Energy is dimensionally represented as [M¹ L¹ T-²].

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