Question

How can we calculate the value of g by using Newton’s universal law of gravitation for an
object of mass m situated at a distance r from the centre of the earth.​

Answer 1

The mass m of the object cancels, leaving an equation for g: ... g=(6.67×10−11N⋅ m2kg2)×5.98×1024 kg(6.38×106 m)2 g = ( 6.67 × 10 − 11 N ⋅ m 2 kg 2 ) × 5.98 × 10 24 kg ( 6.38 × 10 6 m ) 2 , and we obtain a value for the acceleration of a falling body: g = 9.80 m/s2.

Answer 2

Answer:

The mass m of the object cancels, leaving an equation for g: ... g=(6.67×10−11N⋅ m2kg2)×5.98×1024 kg(6.38×106 m)2 g = ( 6.67 × 10 − 11 N ⋅ m 2 kg 2 ) × 5.98 × 10 24 kg ( 6.38 × 10 6 m ) 2 , and we obtain a value for the acceleration of a falling body: g = 9.80 m/s2.