The magnitude of <em>electrical</em> force on charge due to the others is 0.102 newtons.
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How to calculate the electrical force experimented on a particle</h3>
The vector <em>position</em> of each particle respect to origin are described below:
Then, distances of the former two particles particles respect to the latter one are found now:
The resultant force is found by Coulomb's law and principle of superposition:
(1)
Please notice that particles with charges of <em>same</em> sign attract each other and particles with charges of <em>opposite</em> sign repeal each other.
(2)
Where:
- - Electrostatic constant, in newton-square meters per square Coulomb.
- , , - Electric charges, in Coulombs.
- , - Distances between particles, in meters.
- , - Unit vectors, no unit.
If we know that , , , , , , and , then the vector force on charge is:
And the magnitude of the <em>electrical</em> force on charge (), in newtons, due to the others is found by Pythagorean theorem:
The magnitude of <em>electrical</em> force on charge due to the others is 0.102 newtons.
To learn more on Coulomb's law, we kindly invite to check this verified question: brainly.com/question/506926
Answer:
His final velocity is 15.8 m/s.
Step-by-step explanation:
Given:
Initial velocity of the driver is, m/s
Acceleration of the driver is, m/s²
Time taken to reach final velocity is, s.
The final velocity is given using the Newton's equations of motion as:
, where, is the final velocity.
Now, plug in the given values and solve for .
Therefore, his final velocity is 15.8 m/s.
Use the conservation of angular momentum; angular momentum at the beginning = angular momentum at the end
Conservation of angular momentum:
I1 w1 = I2 w2
Where I is the moment of inertia. For a sphere, I=2/5 m R^2. Substituting into the equation above we get
w2 = I1 w1 / I2 = w1 m1 R1^2 / (m2 R2^2)
w2 = w1 4 * (R1/R2)^2
= 4*(1)*(7E5/7.5)^2
= 3.48E10 revs/(17days)
= 2.04705882 x 10^9 revs/sec
Answer:
D. The Federal Reserve Bank can provide a short-term loan to banks
to prevent them from running out of money.
Explanation:
A bank run occurs when a large number of depositors withdraw their deposits simultaneously from a bank.
As the number of withdraws increases, the available cash in the bank decreases until a point that the bank can't give depositors their money.
In these situations, The Federal Reserve Bank acts as a lender of last resort that helps to reinforce the effect of deposit insurance, and to reassure bank customers that they will not lose their money.
Answer:
The maximum pressure that will be attained in the tank before the plug melts and releases gas should be less than 74.26 atm.
Explanation:
To calculate the final pressure of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.
Mathematically,
where,
are the initial pressure and temperature of the gas.
are the final pressure and temperature of the gas.
We are given:
Putting values in above equation, we get:
The maximum pressure that will be attained in the tank before the plug melts and releases gas should be less than 74.26 atm.