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Graph of Variation of G

The radius of...

Question

The radius of a planet is 1/4th of earths radius and it's Acceleration due to gravity is double to earths acceleration due to gravity . How many times value of escape velocity at the planet as compared to its valyebat the earth

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Solution

$D e a r s t u d e n t, E s c a p e v e l o c i t y = \sqrt{2 g R} E_{E A R T H} = \sqrt{2 g R} E_{p l a n e t} = \sqrt{2 g' R'} = \sqrt{2 \times 2 g \times \frac{R}{4}} = \sqrt{g R} E_{E A R T H} = \sqrt{2} \times E_{p l a n e t} R e g a r d s$

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