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Motion In Straight Line

Question
CBSEENPH11017501

Find the acceleration due to gravity on the surface of satellite of mass 2 x 1011kg and radius 25km.

Solution

Acceleration due to gravity, straight g equals GM over straight R squared
Here,
Mass, straight M equals 2 cross times 10 to the power of 11 kg
Radius, straight R equals 25 km equals 25000 straight m
       
Gravitational constant, straight G equals 6.67 cross times 10 to the power of negative 11 end exponent Nm squared divided by kg squared 

Acceleration due to gravity, 
 straight g equals fraction numerator 6.67 cross times 10 to the power of negative 11 end exponent cross times 2 cross times 10 to the power of 11 over denominator left parenthesis 25000 right parenthesis squared end fraction 
   equals 2.13 cross times 10 to the power of negative 8 end exponent straight m divided by straight s squared