Two bodies have masses in the ratio 5 : 1 andkinetic energies in the r

1.	Two bodies have masses in the ratio 5 : 1 andkinetic energies in the ratio 125 : 9. Calculate theratio of their velocities.
Answer» Answer: Ratio of the MASS of the BODY = 5 : 1` Ratio of the Kinetic Energy of the body = 125/9 Since, K.E. = 1/2 mv² Therefore, Ratio of K.E.₁ : K.E.₂ = m₁v₁²/m₂v₂² ∴ v₁²/v₂² = K.E.₁/K.E.₂ × m₂/m₁ ∴ v₁²/v₂² = 125/9 × 1/5 ∴ v₁²/v₂² = 25/9 ∴ v₁/v₂ = 5/3 Hence, the ratio of the VELOCITY of the body a to the velocity of the body b is 5 : 3. Hope it HELPS.

Two bodies have masses in the ratio 5 : 1 andkinetic energies in the ratio 125 : 9. Calculate theratio of their velocities.

Answer»

Answer:

Ratio of the MASS of the BODY = 5 : 1`

Ratio of the Kinetic Energy of the body = 125/9

Since, K.E. = 1/2 mv²

Therefore, Ratio of K.E.₁ : K.E.₂ = m₁v₁²/m₂v₂²

∴ v₁²/v₂² = K.E.₁/K.E.₂ × m₂/m₁

∴ v₁²/v₂² = 125/9 × 1/5

∴ v₁²/v₂² = 25/9

∴ v₁/v₂ = 5/3

Hence, the ratio of the VELOCITY of the body a to the velocity of the body b is 5 : 3.

Hope it HELPS.

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Two bodies have masses in the ratio 5 : 1 andkinetic energies in the ratio 125 : 9. Calculate theratio of their velocities.​

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Two bodies have masses in the ratio 5 : 1 andkinetic energies in the ratio 125 : 9. Calculate theratio of their velocities.