Find an Online Tutor Now

Iera K.

asked • 05/07/15

Show that when r changes by ?r; the change in the acceleration due to gravity, g; is given by ?g ˜ -2g ( ?r / r)

The acceleration due to gravity, g; is given by
g = GM / r2 ;

where M is the mass of the earth, r is the distance from the center of the earth,
and G is the universal gravitational constant.

Show that when r changes by Δr; the change in the acceleration due to gravity, g;
is given by
 
Δg ≈ -2g ( Δr / r)

[Hint: Let g be a function of r; that is: g (r) = GM / r2 ]:

1 Expert Answer

By:

Raymond L. answered • 05/20/15

Tutor
4.8 (33)

Math, SAT Math, Physics

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.