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Mass of 2 bodies are in ratio 1:2. Both are initially at rest and are subjected to same force. Velocity acquired by them after covering a fixed distance ae

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Mass of the bodies are in ratio 1:2 if same force is applied, the ratio of accelerations would be 2:1 since acceleration is inversely proportional to mass.

Let the acceleration be 2a and a. initial velocities of both are zero, so u = 0 for both. let the velocities acquired after covering distance d be V and v.

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F = m a = constant Masses are in the ratio: 1 : 2 So accelerations are in the ratio: 2 : 1

v² = u² + 2 a s distance s = constant. u = 0 in both cases. v = √(2 a s)

velocity is proportional to square root of acceleration. => √2 : 1