The earth exerts a gravitational force of F(f)=(2.99x10^16)/r^2 newtons on an object with a mass of 75kg located r meters from t

Question

cupoosta [38]

4 years ago

9

The earth exerts a gravitational force of F(f)=(2.99x10^16)/r^2 newtons on an object with a mass of 75kg located r meters from t

he center of the earth. Find the rate of change of force with respect to distance.

Mathematics

1 answer:

QveST [7] · Answer 1 · 2021-12-08T14:22:18+03:00

QveST [7]4 years ago

6 0

Umm this should be in physics but F is proportional to 1/r^2 I am assuming you want to just take the derivative in respect to r of both sides of the equation

F = (2.99x10^16)/r^2
So you do that and you get
dF/dr = -2(2.99 * 10 ^16)/ (r^3)

is this for calc class?