The new force between the two objects will be 1/16 of what the original force was.
This relationship can be found by using this equation:
F=(kQ1Q2)/r2In this case "r" represents the distance between the two charges, the "Q"s represent the two charges, the "k" represents Coulomb's constant, and "F" is the force.
Since "r" increased by a factor of 4 in the problem, and (4r)2 equals 16r2, then the "new" Force (Fn) is proportional to 1/16r2. You can use proportionality to set up the equation 16Fn = Fo where Fn is the new force and Fo is the original force. If you divide both sides by 16 to solve for Fn, you come up with the fact that the "new" force equals the original force over 16, which demonstrates that the "new" force is 1/16 of the original.
The gravitational force between two objects increases as the distance between them decreases. This is governed by the inverse square law, where the force is proportional to the inverse of the square of the distance between the objects. So, decreasing the distance leads to a stronger gravitational force.
The forces of gravity between any two objects depend on the mass of theobjects ... stronger for greater mass ... and on the distance between them ...stronger for smaller distance.
The two neighboring planets with the greatest distance between them is Neptune and Uranus. This happens when they are at the opposite sides of the Sun at approximately. They are 4500 million miles away from each other.
The force of gravity between two objects decreases as the distance between them increases. This relationship follows an inverse square law, meaning that if the distance between two objects doubles, the gravitational force between them will decrease by a factor of four.
B. It decreases as the distance between the objects increases. The force of gravity follows an inverse square law, meaning that as the distance between two objects increases, the gravitational force between them decreases.
If one charge is quadrupled, the electrostatic force between the charges will increase by a factor of 4. This is because the electrostatic force is directly proportional to the product of the two charges involved.
If the distance between two objects is quadrupled, the force between them decreases to one sixteenth (1/16) of its original value. This relationship is described by the inverse square law, which states that the force between two objects is inversely proportional to the square of the distance between them.
The electrical force between charges decreases as the distance between them increases. This is because the force follows an inverse square law relationship with distance, meaning that it weakens proportionally to the square of the distance between the charges.
If the distance between charges is increased while the charges remain the same, the force between the charges decreases. This relationship is described by Coulomb's law, which states that the force between charges is inversely proportional to the square of the distance between them.
If the magnitude of both charges is doubled and the distance between them is also doubled, the force between them will remain the same. This is because the force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Doubling both charges and distance cancels each other out in terms of force.
The circumference is also quadrupled.
Gravitational force is inversely proportional to the square of the distancebetween the objects.1/42 = 1/16The force becomes 1/16 of what it was originally. That's 93.75% less.
The electrical force between two charges increases by a factor of 4 when the distance is halved. This is because the force between charges is inversely proportional to the square of the distance between them, following Coulomb's law. Therefore, decreasing the distance by half results in the force increasing by a factor of 4.
The force between charges decreases to (1/9) of the original force when the separation distance is tripled according to Coulomb's Law. This is because force is inversely proportional to the square of the separation distance.
When the linear dimensions of a plane figure are quadrupled, its perimeter is quadrupled, and its area is multiplied by 42 = 16 .
If you increase the distance between two charges by a factor of 5, the electric force between them decreases by a factor of 25 (5^2). This is because the electric force follows an inverse square law, so it is proportional to the inverse square of the distance between the charges.
When you have two point charges, they will interact with each other through the electromagnetic force. The charges will either attract or repel each other based on their signs (positive or negative) and the distance between them. This interaction is described by Coulomb's law, which states that the force between the charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.