# The tallest spot on Earth is Mt. Everest, which is 8857 m above sea level. If the radius of the Earth to sea level is 6369 km, how much does the magnitude of g change between sea level and the top of Mt. Everest?

##### 2 Answers

#### Explanation:

Let

When the body of mass m is at sea level, we can write

When the body of mass m is at the tallest spot on Everst, we can write

Dividing (2) by (1) we get

(Neglecting higher power terms of

Now

So change (decrease) in magnitude of g

#### Explanation:

Newton's Law for Gravitation

And

So

if we were to compute different

**Using differentials** to double check: