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two bodies of...

Question

two bodies of masses 2 metre and 3 metre move with uniform velocity v and 3V respectively find the ratio of their Kinetic energies

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Solution

Dear Student

Mass cannot be in meter. It can either be Kg or g.
Let us consider, 2 kg and 3 kg.

We know that kinetic energy is given as

E = (1/2)mv²

Body 1, E₁ = 1/2 (2) (v)² = v²
Body 2, E₂ = 1/2 (3) (3v)² = 1/2 (3) 9v² = 27v²/2

E₁/E₂ = v²/ (27v²/2)
E₁/E₂ = 2/27

Ratio of E₁ :E₂ = 2: 27

Regards

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