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Q.

The mass and radius of the moon are 7.4x1022kg and 1740 km, respectively. Find the acceleration due to gravity at the moon. Assume the value of G (6.67 x 10-11Nm2/kg2)


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a

1.8m/s2

b

1.72m/s2

c

1.62m/s2

d

1.82m/s2 

answer is C.

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Detailed Solution

On the moon's surface, the radius equals the distance to the centre of mass: R=1740000m. The acceleration due to gravity on the moon using the following formula
g = GM/R2
g = (6.67 x 10-11 x 7.4x1022)/ (1740000)2
g = 1.62m/sec2
 
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The mass and radius of the moon are 7.4x1022kg and 1740 km, respectively. Find the acceleration due to gravity at the moon. Assume the value of G (6.67 x 10-11Nm2/kg2)