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Two bodies A and B have masses in the ratio 5 : 1 and their kinetic energies are in the ratio 125:9. Find the ratio of their velocities. - Physics

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Numerical

Two bodies A and B have masses in the ratio 5 : 1 and their kinetic energies are in the ratio 125:9. Find the ratio of their velocities.

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Solution

m_A/m_B = 5/1

(KE_A)/(KE_B) = 125/9

 therefore (KE_A)/(KE_B) =(1/2M_AV_A^2)/(1/2M_BV_B^2)

125/9 = 5/1  (V_A^2)/(V_B^2) ⇒ (V_A)/(V_B) = 5/3

Concept: Different Forms of Energy
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