The Earth is assumed to be a sphere of radius R . A platform is arranged at a height R from the surface of the Earth. The escape velocity of a body from this platform is f v , where v is its escape ve

Question

The Earth is assumed to be a sphere of radius R . A platform is arranged at a height R from the surface of the Earth. The escape velocity of a body from this platform is f v , where v is its escape velocity from the surface of the Earth. The value of f is:

TestHub · Accepted Answer

We know that Escape velocity V e ​ = 2 g R ​ Escape velocity of the body from platform ​ P. E + K ⋅ E = 0 − 2 R GM m ​ + 2 1 ​ m V 2 = 0 ⇒ V = R 2 GM ​ ⋅ R ​ = g R ​ ​ This confirms that: ∴ f ​ f v = 2 ​ V ​ = 2 ​ 1 ​ . ​

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