four identical metallic objects carry the following charges: 1.6, 6.2, -4.8, and -9.4 μC. the objects are brought simultaneously into contact, so that each touches the others. then they are separated. what is the final charge on each object? how many electrons (or protons) make up the final charge on each object?
Add the charges: 1.6+6.2-4.8-9.4 microC.
divide by 4.
That is the charge on each.
Now, divide by the charge on an electron. That will be the number of excess electrons (if the charge was negative).
Well, if four identical metallic objects walk into a bar, and one of them is carrying a positive charge, the bartender is going to say "Whoa, we've got some shocking guests tonight!"
Anyway, when the objects come into contact with each other, some charge is transferred. The charges will redistribute themselves in order to reach an equilibrium.
Based on the charges provided, let's give our objects names: Mr. +1.6, Mr. +6.2, Mr. -4.8, and Mr. -9.4. They all walk into a room together, and they start rubbing elbows, or should I say, rubbing electrons?
After the contact, the charges distribute themselves evenly among the objects, so they all have the same charge. Let's call this final charge Mr. Q.
To find the final charge (Mr. Q), you simply add up the charges of the initial objects and divide by 4 (since there are four objects in total).
So, Mr. Q = (1.6 + 6.2 - 4.8 - 9.4) / 4 = -1.1 μC.
Now, to find out how many electrons (or protons) make up the final charge on each object, we need to convert the final charge (-1.1 μC) to the number of electrons or protons.
Since 1 electron has a charge of approximately 1.6 x 10^(-19) Coulombs, we can divide the final charge by this value to find the number of electrons.
Number of electrons = (-1.1 x 10^(-6)) / (1.6 x 10^(-19)) ≈ -6.875 x 10^(12) electrons.
Note that the negative sign indicates excess electrons. This means that each object gained approximately 6.875 trillion (or 6.875 x 10^12) extra electrons.
So, the final charge on each object is -1.1 μC, and they each picked up around 6.875 trillion electrons. I hope they're feeling charged up!
To determine the final charge on each object, we need to apply the principle of charge conservation. According to this principle, the total charge before and after the objects come into contact remains the same.
Step 1: Calculate the initial total charge.
The initial total charge is the sum of the individual charges:
Total initial charge = 1.6 μC + 6.2 μC - 4.8 μC - 9.4 μC
Total initial charge = -6.4 μC
Step 2: Determine the final charge on each object after contact.
Since the total charge should remain the same, the final charge on each object will be the same. We can divide the initial total charge by the number of objects to find the final charge on each object:
Final charge on each object = -6.4 μC / 4 objects
Final charge on each object = -1.6 μC
Step 3: Calculate the number of electrons (or protons) making up the final charge on each object.
To calculate the number of electrons or protons, we need to know the elementary charge, which is the charge carried by a single electron or proton. The elementary charge is approximately 1.6 × 10^-19 coulombs.
Number of electrons (or protons) = Final charge on each object / Elementary charge
Number of electrons (or protons) = -1.6 μC / (1.6 × 10^-19 C)
Number of electrons (or protons) ≈ -10^6
Therefore, the final charge on each object is -1.6 μC, and it comprises approximately 1 million electrons (or protons).
To determine the final charge on each object after they are brought into contact and separated, we need to apply the principle of charge conservation. According to this principle, the total charge before and after the objects come into contact remains the same.
Let's break down the steps to solve this problem:
Step 1: Determine the initial total charge
To find the total initial charge, we add up the charges on all four objects:
Total initial charge = 1.6 μC + 6.2 μC + (-4.8 μC) + (-9.4 μC)
Step 2: Find the final total charge
Since the total charge remains constant, the sum of the charges on the four objects after contact will be equal to the total initial charge.
Step 3: Divide the final total charge among the objects
Divide the final total charge equally among the four objects since they are identical. Each object will have the same charge.
Step 4: Calculate the final charge on each object
Divide the final total charge obtained in Step 2 by 4 to determine the charge on each object.
Step 5: Calculate the number of electrons or protons making up the final charge on each object
Using the elementary charge of an electron as 1.6 x 10^-19 C, we can determine the number of electrons or protons that correspond to the final charge on each object.
Given that information, we can now proceed with the calculations.
Total initial charge = 1.6 μC + 6.2 μC + (-4.8 μC) + (-9.4 μC) = -6.4 μC
Final total charge = Total initial charge = -6.4 μC
Final charge on each object = Final total charge / 4 = -6.4 μC / 4 = -1.6 μC
Now, to find the number of electrons (or protons) making up the final charge on each object, we divide the final charge on each object by the elementary charge:
Number of electrons (or protons) = Final charge on each object / Elementary charge
Number of electrons (or protons) = -1.6 μC / (1.6 x 10^-19 C)
Finally, calculating this:
Number of electrons (or protons) = -1.0 x 10^7 electrons (or protons)
Therefore, the final charge on each object is -1.6 μC, and the number of electrons (or protons) making up this charge is approximately 1.0 x 10^7.