Hey student studies gravity using objects that have the same mass which two objects have the greatest gravitational force acting between them a. 100kg 1.0m 100kg b. 100kg 2.0m 100kg c. 100kg 2.0m 100kg big d. 100kg big 3.0m 100kg big

A. 100kg 1.0m 100kg

Explanation:

The force of gravity between two objects is given by

where

G is the gravitational constant

m1, m2 are the masses of the two objects

r is the separation between the two objects

We notice that the force of gravity is proportional to the product of the masses and inversely proportional to the square of the distance.

In this problem, we see that the two objects have always the same mass: this means that the gravitational force is determined only by their separation. Since the force is inversely proportional to the square of the distance, the pair of objects with the shortest distance will have the greatest gravitational force: therefore, the correct option will be A, since the two objects have the shortest separation (1.0 m).

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explanation:

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west