Avery small round ball is located near a large solid sphere of uniform density. the force that the large sphere exerts on the ball a very small round ball is located near a large solid sphere of uniform density. the force that the large sphere exerts on the ball a. is independent of the mass of the sphere. b. can only be calculated using calculus. c. is approximately the same as it would be if all the mass of the sphere were concentrated at the center of the sphere. d. is independent of the mass of the ball. e. is exactly the same as it would be if all the mass of the sphere were concentrated at the center of the sphere.

Option e

Explanation:

The Law of Universal Gravitation states that every point mass attracts every other point mass in the universe by a force pointing in a straight line between the centers-of-mass of both points, and this force is proportional to the masses of the objects and inversely proportional to their separation This attractive force always points inward, from one point to the other. The Law applies to all objects with masses, big or small. Two big objects can be considered as point-like masses, if the distance between them is very large compared to their sizes or if they are spherically symmetric. For these cases the mass of each object can be represented as a point mass located at its center-of-mass.

The same force is applied to both the balls.

if you already have the answer to (a), then just work out how many periods there are in 1 minute, and that's the answer to (c).