Imagine-a-planet-having-a-mass-twice-that-of-the-earth-and-a-radius-equal-to-1-414-times-that-of-the-earth-Determine-the-acceleration-due-to-gravity-at-its-surface-

Question Number 106928 by aurpeyz last updated on 07/Aug/20

I m a g i n e a p l a n e t h a v i n g a m a s s t w i c e t h a t

o f t h e e a r t h a n d a r a d i u s e q u a l t o 1.414

t i m e s t h a t o f t h e e a r t h . D e t e r m i n e t h e

a c c e l e r a t i o n d u e t o g r a v i t y a t i t s s u r f a c e .

Answered by JDamian last updated on 07/Aug/20

g_{p l a n e t} = G \frac{M_{p l a n e t}}{R_{p l a n e t}^{2}} = G \frac{2 M_{E a r t h}}{{(\sqrt{2} \cdot R_{E a r t h})}^{2}} =

= G \frac{2 M_{E a r t h}}{2 R_{E a r t h}^{2}} = G \frac{M_{E a r t h}}{R_{E a r t h}^{2}} = g_{E a r t h}

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