Question

13. Two bodies have masses in the ratio 5 : 1 and
kinetic energies in the ratio 125 : 9. Calculate the
ratio of their velocities.
Ans. 5:3​

Answer 1

Answer:

K = mv²/2

K₁ / K₂ = m₁ v₁² / m₂ v₂²

125 / 9 = 5 v₁²/v₂²

v₁²/v₂² = 25/9

v₁/v₂ = 5/3

Explanation:

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Answer 2

Answer:

$let \: masses \: of \: two \: boies \: are \: m1 \: and \: m2 \\ kinetic \: energie \: are \: k1 \: and \: k2 \\ and \: velocities \: are \: v1 \: \: and \: v2 \\ given \: that \: \frac{m1}{m2} = \frac{5}{1 } \\ \frac{k1}{k2} = \frac{125}{9} \\ as \: we \: know \: that \: \frac{k1}{k2} = \frac{ \frac{1}{2} m {1v1}^{2} }{ \frac{1}{2} m2 {v2}^{2} } \\ \frac{125}{9} = \frac{5}{1} \times \frac{ {v1}^{2} }{ {v2}^{2} } \\ \frac{v1}{v2} = \frac{5}{3}$