(MAT105 -Intro 2 Cllge Math) Real Wrld App #6 -Wk 7

(MAT105 -Intro 2 Cllge Math) Real Wrld App #6 -Wk 7 - I n...

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Unformatted text preview: I n Re al Wo rl d Ap p li ca ti on # 6 , you le a rn ho w to fi gu re th e ra di u s o f a bl a ck h ol e b y e n te rin g f ig u re s in to eq u a tio n s a n d th en usi n g th e o rd e r o f op e ra tio n s ( P a ren th e se s, Exp o ne n ts, Mul ti p l y/Di vi d e , Ad d /Su b tra ct) . B l a ck h ol e s a re sta rs tha t d ie d a n d col l ap se d i nw a rd fro m the pu l l o f th e i r o wn g ra vi ty. Th i s p ow e rfu l g ra vi ty in si de th e ho l e p re ve n ts li g h t fro m e sca p in g i t. T h e b o rde r o f a b la ck ho l e i s cal l e d th e e ven t h o ri zo n . Th e ce n te r ma ss ge n e ra ti n g t h e h o le is sma l l , a n d th e sp a ce be tw e e n i t a nd th e e ve n t ho ri zo n i s e mp ty. T o fi nd th e ra d iu s (d i sta n ce fro m th e ce n te r ma ss to th e eve n t h o ri zo n) , yo u u se th e e qu a ti on R ( ra d i u s) = 2 GM/c2 G i s th e u ni ve rsal gra vi ta ti on a l con sta n t an d G = 6 .6 7 x 10 Nm /kg M is the ce n te r ma ss th a t col l ap se d c is the sp e e d of l ig h t in a va cu u m a nd c = 3 x 10 m/s A pplic a tio n Exe rc is e # 3 a sks W h a t ma ss of col l a p si n g sta r is re q ui re d to g e ne ra te a b l a ck ho l e wi th a rad i u s o f 5 0 ,0 0 0 m? ( For fun, just something interesting I found is Einstein’s theory of General Relativity. It says the closer you get to a black hole, the more you seem to be going in slow motion. Eventually you appear to be frozen in time when you cross the event horizon. If you change your mind right before crossing and come back to Earth, you would arrive in the distant future, although you wouldn’t have known you time traveled.) ...
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