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A small satellite revolves around a heav...

A small satellite revolves around a heavy planet in a circular orbit. At a point in its orbit an impulse acts suddenly and instantaneously increases its kinetic energy `K` times without change in its direction of motion. The ratio of maximum to the minimum distance from the planet is [Assume mass of satellite is negligible small compared to that of planet]

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A small satellite revolves around a heavy planet in a circular orbit. At certain point in its orbit a sharp impulse acts on it and instantaneously increases its kinetic energy to 'k' (lt2) times without change in its direction of motion show that in its subsequent motion the ratio of its maximum and minimum distance from the planet is (k)/(2-k) assuming the mass of the satellite is negligibly small as compared to that of the planet.

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