two-sphere-with-10-cm-radious-and-1-kg-mass-and-distence-between-this-two-is-1-m-after-what-time-they-will-touch-each-other-

Question Number 33824 by Nayon.Sm last updated on 25/Apr/18

two sphere with 10 cm radious and

1 kg mass and distence between

this two is 1 m . after what time they

will touch each other ?

Answered by Andrew Foxman last updated on 08/May/19

I t g i v e s u s

r_{0} = 1.2 m

r = 0.2 m

m = 1 k g

t = ?

D o y o u r e m e m b e r f o r m u l a ?

g (r) = \frac{r}{t^{2}} \Rightarrow t = \sqrt{\frac{r}{g (r)}} (1) b e c a u s e t h e b a l l s w i l l

f a l l i n t o e a c h o t h e r . A l s o g (r) = G \frac{m}{r^{2}} (2) .

I n t r o d u c i n g (1) i n (2) a f t e r u s i n g s o m e a l g e b r a

t = \sqrt{\frac{r^{3}}{G m}} (r = 0.2 m) S o u s e t h i s f o r m u l a .

T h e r e i s a n o t h e r c o m p l i c a t e d w a y t h a t

r e q u i r e s d i f f e r e n t i a l . I s h o w e d y o u a

s i m p l e w a y .