
1.
Two conducting bodies are located 3 meters apart. The first body has a mass of 2.5 kg and has a charge of {eq}4.2\cdot 10^{9}\ C {/eq} and the second body has a mass of 3.8 kg, with a charge of {eq}5.1\cdot 10^{9}\ C {/eq}. Determine which force predominates between them, the gravitational force or the electric force?

2.
Determine the predominant force between two large conducting cylinders. The first cylinder has a charge of {eq}7.6\cdot 10^{9}\ C {/eq} and a mass of 150 kg and the second cylinder has a charge of {eq}9.8\cdot 10^{9}\ C {/eq} and a mass of 350 kg.

3.
To make a study, a physics professor places two charged rings at a distance of 50 cm apart. The first ring has a mass of {eq}5\cdot 10^{3}\ kg {/eq} and a charge of {eq}6.9\cdot 10^{9}\ C {/eq} and the second ring has a mass of {eq}4.3\cdot 10^{3}\ kg {/eq} and a charge of {eq}7.6\cdot 10^{9}\ C {/eq}. Which force is predominant between the rings?

4.
In an experimental room there are two spheres of pure silver, with equal masses and different charges. If the mass of the two spheres is 190 kg and the charges are {eq}15\cdot 10^{9}\ C {/eq} and {eq}6.3\cdot 10^{9}\ C {/eq}, identify if the predominant force between them is electric or gravitational.

5.
Two silver wires are placed 20 cm apart. The weight of each wire is {eq}100\cdot 10^{6}\ kg {/eq}, the wire on the right has a charge of {eq}1.3\cdot 10^{9}\ C {/eq} and the wire on the left is {eq}0.4\cdot 10^{9}\ C {/eq}. Specify which force predominates between the two wires, the gravitational force or the electric force?

6.
Two conductive masses are placed close to each other. The first is a mass 15 kg and the other is a mass 7 kg. They have charges of {eq}9.8\cdot 10^{9}\ C {/eq} and {eq}7.5\cdot 10^{9}\ C {/eq} respectively. What will be the predominant force between them?

7.
What will be the dominant force between two copper cubes placed 2 meters apart? The first cube has a mass of 300 kg and a charge of {eq}1.5\cdot 10^{9}\ C {/eq} and the second cube has a mass of 480 kg and a charge of {eq}1.3\cdot 10^{9}\ C {/eq}.

8.
Two conductive objects, with a masses of {eq}50\cdot 10^{3}\ kg {/eq} and {eq}75\cdot 10^{3}\ kg {/eq} and a charge of
{eq}7.9\cdot 10^{9}\ C {/eq} and {eq}9.1\cdot 10^{9}\ C {/eq} respectively, have been placed in a laboratory in a major city. Will the predominant force between the two objects be the electric force or the gravitational force?

9.
A group of scientists, who want to study the predominant forces between two charged objects, have placed two gold rods near one another. The first rod has a charge of {eq}0.5\cdot 10^{9}\ C {/eq} and a mass of {eq}60\cdot 10^{3}\ kg {/eq}, while the second rod is charged with {eq}1.9\cdot 10^{9}\ C {/eq} and has a mass of {eq}75\cdot 10^{3}\ kg {/eq}. What will be the predominant force found by the scientists?

10.
Determine which force predominates between two point charges of mass {eq}8.4\cdot 10^{32}\ kg {/eq}, if one of the masses has a charge of {eq}7.4\cdot 10^{9}\ C {/eq} and the other has a charge of {eq}1.1\cdot 10^{9}\ C {/eq}.

11.
Two gold wire rings are placed 15 cm apart. The weight of each wire is {eq}3\cdot 10^{3}\ kg {/eq}. The ring on the right has a charge of {eq}4.3\cdot 10^{9}\ C {/eq} and the ring on the left has {eq}3.7\cdot 10^{9}\ C {/eq}. Which force predominates between the two rings, the gravitational force or the electric force?

12.
To conduct a study, a scientist places two small metal plates at a distance of 56 cm. The first plate has a mass of {eq}150\cdot 10^{3}\ kg {/eq} and a charge of {eq}4.8\cdot 10^{9}\ C {/eq}, while the second plate has a mass of {eq}120\cdot 10^{3}\ kg {/eq} and a charge of {eq}9\cdot 10^{9}\ C {/eq}. Which force is predominant between the plates?

13.
A group of university students, who want to study the predominant forces between two charged objects, have placed two steel bars near one another. The first bar has a charge of {eq}1\cdot 10^{9}\ C {/eq} and a mass of {eq}90\cdot 10^{3}\ kg {/eq}, while the second bar is charged with {eq}2.6\cdot 10^{9}\ C {/eq} and has a mass of {eq}88\cdot 10^{3}\ kg {/eq}. What will be the predominant force found by the students?

14.
Determine the predominant force between two large conducting tubes. The first tube has a charge of {eq}8\cdot 10^{9}\ C {/eq} and a mass of 150 kg and the second tube has a charge of {eq}10\cdot 10^{9}\ C {/eq} and a mass of 290 kg.

15.
What will be the dominant force between two metal spheres placed 4 meters apart? The first sphere has a mass of 1.2 kg and a charge of {eq}5.8\cdot 10^{9}\ C {/eq} and the second sphere has a mass of 3 kg and a charge of {eq}4.4\cdot 10^{9}\ C {/eq}.

16.
Determine which force predominates between two charged masses of 176 kg. One of the masses has a charge of {eq}4\cdot 10^{9}\ C {/eq} and the other mass has a charge of {eq}2.6\cdot 10^{9}\ C {/eq}.

17.
In an experimental room sit two iron balls with equal masses and different charges. If the mass of the two spheres is 2 kg and the charges are {eq}11\cdot 10^{9}\ C {/eq} and {eq}7.9\cdot 10^{9}\ C {/eq}, identify if the predominant force between them is electric or gravitational.

18.
Two conductive objects are side by side. The first is a object of 101 kg and the other is a object of 96 kg, with charges {eq}6\cdot 10^{9}\ C {/eq} and {eq}7.7\cdot 10^{9}\ C {/eq} respectively. What will be the predominant force between them?

19.
Two conducting objects are located 1.5 meters apart. The first object has a mass of 75 kg and has a charge of {eq}5\cdot 10^{9}\ C {/eq} and the second object has a mass of 56 kg, with a charge of {eq}3.6\cdot 10^{9}\ C {/eq}. Determine which force dominates between them, the gravitational force or the electric force?

20.
Two conductive bodies, with masses of 70 kg and 55 kg and a charges of {eq}3.2\cdot 10^{9}\ C {/eq} and {eq}5.6\cdot 10^{9}\ C {/eq} respectively, have been placed in a room. Will the predominant force between the two bodies be the electric force or the gravitational force?

21.
To make a study, a group of scientists places two cubes of steel at a distance of 2 m. The first cube has a mass of 2 kg and a charge of {eq}6\cdot 10^{9}\ C {/eq}, while the second cube has a mass of 5 kg and a charge of {eq}4.5\cdot 10^{9}\ C {/eq}. Which force is predominant between the cubes?

22.
A professor, who wants to study the predominant forces between two charged objects, has placed two silver rings near one another. The first ring has a charge of {eq}1.6\cdot 10^{9}\ C {/eq} and a mass of {eq}7\cdot 10^{3}\ kg {/eq}, while the second ring is charged with {eq}0.4\cdot 10^{9}\ C {/eq} and has a mass of {eq}10\cdot 10^{3}\ kg {/eq}. What will be the predominant force found by the professor?

23.
Determine the predominant force between two copper coins. The first coin has a charge of {eq}14\cdot 10^{9}\ C {/eq} and a mass of 0.03 kg and the second coin has a charge of {eq}11\cdot 10^{9}\ C {/eq} and a mass of 0.05 kg.

24.
What will be the dominant force between two steel plates placed 2.5 meters apart? The first plate has a mass of 0.5 kg and a charge of {eq}8\cdot 10^{9}\ C {/eq} and the second plate has a mass of 0.7 kg and a charge of {eq}13\cdot 10^{9}\ C {/eq}.

25.
Two conducting iron pieces are located 2 m apart. The first piece has a mass of 55 kg and has a charge of {eq}6\cdot 10^{9}\ C {/eq} and the second piece has a mass of 80 kg, with a charge of {eq}3.3\cdot 10^{9}\ C {/eq}. Determine which force predominates between the two pieces, the gravitational force or the electric force?

26.
Two copper rods are placed 0.5 m apart. The weight of each rod is 1 kg. The rod on the right has a charge of {eq}5\cdot 10^{9}\ C {/eq} and the rod on the left has {eq}5.3\cdot 10^{9}\ C {/eq}. Which force predominates between the two rods, the gravitational force or the electric force?

27.
Two steel wires, with masses of {eq}800\cdot 10^{3}\ kg {/eq} and {eq}750\cdot 10^{3}\ kg {/eq} and charges of {eq}1.5\cdot 10^{9}\ C {/eq} and {eq}1.9\cdot 10^{9}\ C {/eq} respectively, are being studied. Will the predominant force between the two wires be the electric force or the gravitational force?

28.
Determine which force predominates between two small steel figures of mass 1.4 kg each, if one of the figures has a charge of {eq}9\cdot 10^{9}\ C {/eq} and the other figure has a charge of {eq}11\cdot 10^{9}\ C {/eq}.

29.
In a university classroom a group of students placed two cylinders of stainless steel, with equal masses and different charges, near one another. If the mass of the two cylinders is 3 kg and the charges are {eq}19\cdot 10^{9}\ C {/eq} and {eq}17\cdot 10^{9}\ C {/eq}, identify if the predominant force between the two cylinders is electric or gravitational.

30.
Two metal cubes are placed close to each other. The first has mass of 4.6 kg and the other has a mass of 5.4 kg. They have charges of {eq}18\cdot 10^{9}\ C {/eq} and {eq}14\cdot 10^{9}\ C {/eq}, respectively. What will be the predominant force between them?