Solve the problem.
-The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 2.25 lb when the masses are 4 ft apart, what is the attraction when the masses are 6 ft
Apart?
A) 3 lb
B) 1 lb
C) 2 lb
D) 4 lb

Question

Quizplus · Accepted Answer

The gravitational attraction between two masses can be represented by the formula $A = \frac{k}{d^2}$, where $A$ is the attraction, $d$ is the distance between the masses, and $k$ is a constant. Given that the attraction is 2.25 lb when the distance is 4 ft, we can find $k$ by rearranging the formula to $k = A \cdot d^2 = 2.25 \cdot 4^2 = 2.25 \cdot 16 = 36$. To find the attraction when the distance is 6 ft, we use the formula again with $d = 6$: $A = \frac{36}{6^2} = \frac{36}{36} = 1$ lb.

Solve the Problem. -The Gravitational Attraction a Between Two Masses Varies Inversely as Varies