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calculating gravitation acceleration

Physics
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A former white dwarf star has shrunk so now its new radius is 5.3 X 105 km (roughly the size of our sun).  What is the minimum value of the gravitation acceleration at its shrunken surface, if this star has become a black hole?  Give your answer in g's (in other words, how many times more is g on this black hole than on earth).

Apr 15th, 2015

g1*r1*r1/M1 = g2*r2*r2/M2

g2 = g * r2*r2 / r1/r1 / M1 * M2

g2= 48.13 g m/s/s (ANSWER)

Where

M2= (approx mass of sun) = 1.99*10^30 kg

M1 = (approx mass of earth) = 5.97*10^24 kg

r1= (radius of earth) = 6371000 m

r2 = (radius give) = 5.3 * 10^8 m




Apr 15th, 2015

just to clarify

required answer is " 48.13*g"

 best the answer :)

Apr 15th, 2015

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