Two identical small metal spheres 3 cm apart

In summary, two identical small metal spheres with a distance of 3 cm between them attract each other with a force of 150N electrical module. After being connected by a conducting wire and then removed, they now repel each other with a force of 10N module. From a graphical analysis, it is shown that this repulsive electric force is unrealistic. Using Coulomb's law, the initial electrical charges can be determined to be q1= +5μC and q2= +3μC. However, it is unclear how to proceed with the given information.
  • #1
MissJewels
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Homework Statement


Two identical small metal spheres 3 cm apart attract each other with a force of 150N electrical module. They are temporarily connected by a conducting wire, which is then removed, making both charges equal.

a) Determine the initial electrical charges if they now repel each other with a force of 10N module.(It is assumed that the charge of each sphere is uniformly distributed)

b) From a graphical analysis, show that if the repulsive electric force initial situation is unrealistic.

Homework Equations


Coulombs law

The Attempt at a Solution


673EBE9B.jpg

Too much to copy, this is what i have... its french, I try to translate it as much as possible

Also, the book indicated that the answer should be
q1= +5μC
q2= +3μC
 
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  • #2
a) F=K* q1*q2/r²150= K* q1*q2 / (0,03)²So q1*q2 = 15000KFor the repulsive force,F=K* q1*q2/r²10= K* q1*q2 / (0,03)²q1*q2 = 1000K15000K -1000K=14000Kq1 + q2 = 14000K /KBut I don't know what to do after that.
 

FAQ: Two identical small metal spheres 3 cm apart

What is the force between the two identical small metal spheres?

The force between two objects is determined by their masses and the distance between them. In the case of two identical small metal spheres, the force would be calculated using the equation F = (G * m^2) / d^2, where G is the gravitational constant, m is the mass of each sphere, and d is the distance between them.

Is the force between the two spheres attractive or repulsive?

Since the two spheres have the same charge (assuming they are both positively or negatively charged), the force between them would be repulsive. This is because like charges repel each other, while opposite charges attract.

What is the electric field between the two spheres?

The electric field between two charged objects is determined by the magnitude of their charges and the distance between them. In the case of two identical small metal spheres, the electric field would be calculated using the equation E = (q / 4πε0 * d^2), where q is the charge on each sphere and ε0 is the permittivity of free space.

How does increasing the distance between the two spheres affect the force between them?

The force between two objects is inversely proportional to the square of the distance between them. This means that as the distance between the two identical small metal spheres is increased, the force between them will decrease.

How does changing the charge on one of the spheres affect the force between them?

The force between two charged objects is directly proportional to the magnitude of their charges. This means that as the charge on one of the spheres is increased, the force between them will also increase. Similarly, decreasing the charge on one of the spheres will result in a decrease in the force between them.

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