(a) calculate earth's mass given the acceleration due to gravity at the north pole is 9.830 m/s2 and the radius of the earth is 6371 km from center to pole. (b) compare this with the accepted value of 5.979×1024 kg .

(a) The value of the gravitational acceleration is given by:

where

is the gravitational constant

M is the Earth's mass

is the Earth's radius at the pole

If we use the value for g given by the problem, , and we rearrange the equation above, we find the value of the Earth's mass:

(b) The value we found for the Earth's mass is , and we see that this value is slightly larger than the accepted value of .

the diagram which shows forces as either balanced = same speed or unbalanced = accelerarting