Question

According to Newton's Law of Gravity, the force of attraction in Newtons between two bodies is inversely proportional to the square of the distance between them. If ( f ) is the force in Newtons, ( x ) is the distance between the two bodies, and ( a ) and ( b ) are constants, the function that will best fit this situation is

a) Exponential ( f(x) = a cdot b^x )
b) Power ( f(x) = a cdot x^b )
c) Linear ( f(x) = ax + b )
d) Sinusoidal ( f(x) = sin(bx) )

Answer 1

According to Newton's Law of Gravity, the force of attraction between two bodies is inversely proportional to the square of the distance between them. The best function that represents this situation is a power function.

Step-by-step explanation:

According to Newton's Law of Gravity, the force of attraction in Newtons between two bodies is inversely proportional to the square of the distance between them. This means that as the distance between the two bodies increases, the force of attraction decreases. The best function that represents this situation is b) Power ( f(x) = a ∙ x^b ), where f is the force in Newtons and x is the distance between the two bodies.