Question

Question #c4f46

Answer 1

It is either 14 N or 9 N, depending on interpretation. See below.

Explanation:

The question can be interpreted 2 ways. I will give answers for both interpretations. I will be using the formula of Newton's Universal Law of Gravitation.

`F = (G*m*M)/r^2`

The only parameter that is changing in the elevation of the body is r. When the body weighed 144 N, the value of r was R. So the weight at the new location would be different by the multiplication factor, 1/k, where

`k = ("new distance from center of the earth"/R)^2`

1. Assuming the body is now 3R from the center of the earth, the value of k is

`k = ((3*R)/R)^2 = 9`

So the new weight is `(144 N)/9 = 16 N`

1. Assuming the body 3R above the surface, it is now 4R from the center of the earth, the value of k is

`k = ((4*R)/R)^2 = 16`

So the new weight is `(144 N)/16 = 9 N`

I hope this helps,
Steve