Question

hey please do its urgent
 calculate the value of acceleration due to gravity on a planet of mass 2*10^27 kg and radius 14*10^7 kg [ans must be 27.2m/s]

Answer 1

If radius is taken as 14 * 10^7 meters, we get  g = 6.8 m/sec²

$R = 14 * 10^7 meters \\ \\ g = \frac{GM}{R^2} \\ \frac{6.67*10^{-11}}{14^2*10^14} = 6.8 m/sec^2$
 
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If diameter is taken as 14 * 10^7 meters, we get  g = 27.2 m/sec²

$R = 7 * 10^7 meters \\ \\ g = \frac{GM}{R^2} \\ \frac{6.67*10^{-11}}{7^2*10^14} = 27.2 m/sec^2$