Answer:
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Answer:
The moment of inertia of this system is 68 kilogram-square meters.
Explanation:
We have two particles rotating about the z-axis, which is orthogonal to xy plane, the moment of inertia of the system (), measured in kilogram-square meters, is determined by the following formula:
(1)
Where:
- Mass of the i-th particle, measured in kilograms.
- Distance of the i-th particle from axis of rotation, measured in meters.
By Pythagorean Theorem we calculate each distance:
If we know that , , and , then the moment of inertia of the system is:
(1b)
The moment of inertia of this system is 68 kilogram-square meters.
This force is called an electrostatic force. To solve for the value of the electrostatic force. Using Coulumbs Law:
F = k * abs (Q1 * Q2) / r^2
where:
k = coulumb's constant, 8.988x10^9 N *m^2/ C^2
Q1 = first charge
Q2 = second charge
r = distance between charges
8.8x10^4 = 8.988x10^9 * abs((-7.5x10^-9) * (11x10^-9)) / r^2
solve for r
A) The average translational kinetic energy of the molecules in a gas is given by:
where
is the Boltzmann's constant
T is the absolute temperature of the gas
In our problem,
, so the average translational kinetic energy of the molecules is
We have 1.2 mol of this gas, and since one mole of ideal gas contains a number of molecules equal to Avogadro number, the total number of molecules in our gas is
So the total translational kinetic energy of all molecules of the gas is
B) The kinetic energy of a person is given by:
where m is the person's mass and v his velocity. The person has a mass of m=75 kg and its energy is equal to the energy of the gas,
, therefore his velocity must be